27 is 3x3x3 and 85 is 5x17, so the greatest common factor would be 1.
The prime factors of 85 are: 5 and 175 times 175 x 17 = 3585^5x17PRIME'5x17
Prime factor each number and multiply all the numbers that are in both numbers. 30=2x3x5 85=5x17 5 is in both
To find the GCF of two numbers, you must first express them as their prime factors. In this case, that would be: 85 = 5x17 70 = 2x5x7 The next step would be to identify any common factors. In this case the only common factor is 5. Thus, the GCF of 85 and 70 is 5.
To find the LCM of two numbers you first have to split them into their prime factors. In this case: 85=5x17 90=5x3x3x2 The next step is to identify any common prime factors, and ignore one of the pair. In this case, both numbers have one 5 as a prime factor, so we can ignore one of the 5s. Take all the other numbers: 5,17,3,3,2 And find the product: 5x17x3x3x2=1,530 Thus the LCM of 85 and 90 is 1,530
The least common multiple (LCM) is often also called the lowest common multiple or smallest common multiple. Keep in mind that these different terms all refer to the same thing: the smallest positive integer which is a multiple of two or more numbers.The least common multiple of 51 and 85 is 255.
When we look at the evidence, we see that the only references to extraordinarily long lives are in the religious texts, of which only the Bible continues to be used. All the archaeological evidence shows that ancient lifespans were, on average, much shorter than those today. This is supported by Egyptian and Near Eastern records that show the lifespans of pharaohs and kings to have been generally quite short. So we should look at why the Bible says that people lived hundreds of years in ancient times.The great ages of the Old Testament heroes, all the way down from Adam to Joshua, involve elegant patterns using the number 17. For example, the first five persons in the biblical genealogy (Cain and Abel were not included):Name Lifespan (Pattern)Adam 930 (7x9 + 51x17 )Seth 912 (5x9 + 51x17 )Enos 905 (8x9 + 49x17)Cainan 910 (6x10 + 50x17)Mahalalel 895 (5x9 + 50x17)Thus, these biblical heroes, and their descendants, down to Noah and his descendants, had extraordinarily long lifespans that just happened to coincide with these patterns.Methuselah became a father at 187, which is a multiple of 17 (11x17), and died at 969, which is also a multiple of 17 (57x17).When we come to the Patriarchs, Abraham, Isaac and Jacob, we find:Abraham lived to 175 (5 X 5 X 7)Isaac lived to 180 (6 X 6 X 5)Jacob lived to 147 (7 X 7 X 3)Each lifespan involves a perfect square (5, 6, then 7 in a numeric series),the third factor also forms a series (7, 5, 3)in each case the sum of the factors is 17.Once again, an amazingly elegant pattern associated with these lifespans, although they are now closer to those we know to be realistic.Joseph is sometimes referred to as the fourth Patriarch, and his lifespan fits into the elegant pattern of the Patriarchs, but as the last man in Genesis also that of the first man in Genesis, Adam. Joseph is attributed the lifespan of 110 years: · 110 = 5X5 + 6X6 + 7X7, the same series of squares as we saw for the Patriarchs· 110 = (10X10 + 10) - Joseph's lifespan. 930 = (30X30 + 30) - Adam's lifespanThen we find a similar fascination with elegant series and the number 17 in their lives of the other great leaders, with Joseph featuring in another series with Levi, Moses and Joshua:Joseph 110 (5x5 + 5x17 )Levi . . 137 (7x5 + 6x17)Moses 120 (7x5 + 5x17)Joshua 110 (5x5 + 5x17)From this, we can see that the biblical heroes' lifespans were not based on fact, but on numerology. They did not live, if they lived at all, any longer than we do today.
Your question conflates Moses and Noah. Noah lived to 950 (Genesis ch.9), while Moses lived to 120 (Deuteronomy ch.34). See also the Related Links.Timeline of Jewish names and datesAccuracy of the Hebrew BibleLink: Lifespans of the ancients
17.68/17= 485/17= 5If you want to find the Greatest Common Denominator (the lowest number that goes into a set of numbers) of two numbers like 68 and 85 or more than two numbers for that matter, you first must find the prime factorization of all the numbers.Prime Factorization means breaking every factor of a certain number down until they are all prime. The best way to find prime factorization is to make a factor tree by starting with the number and breaking each factor pair down further and further. 68/2 gives you the two factors of 2 and 34 (2x34=68) Now, 2 is a prime number so you are done with that. Break down 34 to get 2 and 17 (2x17=34). 2 and 17 are both prime so you can't go any further. Now you have three prime numbers for your factorization (2,2, and 17).Prime factorization of 68= 2x2x17Prime factorization of 85= 5x17(Notice the factorization equal the number)Second, take the factors that they all share and multiply them together. In this case, 68 and 85 only have one shared factor (17) so your Greatest Common Denominator is 17.This method may seem confusing but it helps if your trying to find the GCD of more than 2 numbers. For instance...Find the Greatest Common Denominator of 204, 112, 36, and 48.First find the prime factorization for each:204= 2x2x3x17112= 2x2x2x2x736= 2x2x3x348= 2x2x2x2x3Now find the common factors and multiply them together. They all share:204= 2x2x3x17112= 2x2x2x2x736= 2x2x3x348= 2x2x2x2x3And so you're left with two 2's. Multiply them together to get:2x2= 44 is your Greatest Common Denominator.
Strictly speaking the Patriarchs are Abraham, Isaac and Jacob, so in the narrowest sense Joseph was not a Patriarch.The content of the story of Isaac is often very similar to that of Abraham, and there are even similarities between the narrative of Jacob and the narrative of Isaac, whereas the narrative of Joseph is very different. Presumably, however, what is being sought are underlying, essential differences.Leon R. Kass (The Beginning of Wisdom: Reading Genesis) points out that, whereas the Bible has God talking to Abraham, Isaac and Jacob, God never talks to Joseph. The text frequently talks about God, using the name Yahweh (YHWH), but whenever Joseph talks about God, he uses another name, Elohim. It is as if Joseph's words come from a different tradition. Elohimcan also mean 'gods', depending on the context and whether the associated verb is singular or plural, but sometimes Kass says that Joseph's words could be interpreted either way - he is talking about the Hebrew God or more generally about the Egyptian gods. English translations assume that God is meant.All the lifespans of the main characters in Genesis involve numerology patterns, based around the number 17. The Patriarchs were the most important of all the main characters and this is probably why they share the most elegant pattern in their lifespans1. Joseph lived to 110 years, which does not conform to the numerological pattern of Abraham, Isaac and Jacob, but is consistent with the pattern for Levi, Moses and Joshua2. This demonstrates that Joseph was never thought of a one of the Patriarchs.Footnote1In the lifespans of the Patriarchs, it should be noted that:Each lifespan involves a perfect square (5, 6 and 7) in a numeric series,The third factor also forms a series (7, 5, 3)In each case the sum of the factors is 17.NameLifespanPatternAbraham175(5x5) x 7Isaac180(6x6) x 5Jacob147(7x7) x 32The numerological pattern for lifespans for main characters after the Patriarchs are simpler but nevertheless remarkably consistent, always involving the number 17:NameLifespanPatternJoseph1105x5 + 5x17Levi1377x5 + 6x17Moses1207x5 + 5x17Joshua1105x5 + 5x17
A:The greatest biblical ages are actually found in the Book of Genesis. These ages can be demonstrated to be based on numerology, using the (for the ancients) magic number 17. For example: Abraham lived to 175 (5 X 5 X 7)Isaac lived to 180 (6 X 6 X 5)Jacob lived to 147 (7 X 7 X 3)Each lifespan involves a perfect square (5, 6, then 7 in a numeric series),the third factor also forms a series (7, 5, 3)In each case the sum of the factors is 17If we look at the lifespan of Abraham's wife, Sarah, we find that Genesis says she lived to 127 years, which is the sum of these consecutive square numbers plus 17 (127 = 52 +62 + 72 + 17).Joseph, favoured son of Jacob, is sometimes referred to as the fourth patriarch, and his 110 years are simply the sum of these consecutive square numbers (110 = 52 +62 + 72). Joseph's age is also found in the elegant formula, 5x5 + 5x17. Interestingly, the first man in Genesis, Adam, has a life span of 930 years, (= 302 + 30), and the last man in Genesis, Joseph, has a life span of 110 years (= 102 + 10). And Adam's lifespan can also be related to his immediate descendants by another series containing the number 17.The development of the Exodus tradition probably did not involve numerology in the way that the Genesis traditions did. Instead, periods of time were more likely to be based on numbers that were easy to remember for oral story-telling, a practice that continued down to the traditions of King Solomon.Moses lived to exactly 120 years, and Joshua to exactly 110 years, mirroring Joseph's biblical age. Only the heroes of the story lived to such long ages. The other people of the Exodus, all two or three million of them, are portrayed without challenge as living much shorter lives, similar to the lifespans of the intended audience for the Book of Exodus. This had to be the case so that everyone who left Egypt would die during the forty years before the Israelites crossed into the Promised Land, as God had promised. If the ages of Moses, Aaron and Joshua are allowed to be typical for the whole group, there would have been a great many who, being less than 70 or 80 years old when they left Egypt, were still alive and well at the time of the biblical conquest of Canaan.
-----------------------The first books of the Bible give us very detailed information about exactly how long each of the ancestral figures lived from Joshua all the way back to Adam. We can list the people back from Moses to Adam, count the years assigned to each biblical ancestor, and also check to ensure that the biblical lifespans were the result of natural chance, or were arrived at by other means.After the Patriarchs, the great Hebrew leaders were Joseph, Levi, Moses and Joshua. The priestly tribe of Levites was said to be descended from Levi, great grandfather of Moses who, along with Joshua, fulfilled the covenant that God gave to the Patriarchs. We find a fascination with elegant series and the number 17 in their lives.NameLifespanPatternJoshua1105x5 + 5x17Moses1207x5 + 5x17Levi1377x5 + 6x17Joseph1105x5 + 5x17In each case, the age assigned to these leaders can be broken down to the sum of two numbers, the first a multiple of 5 (either 7x5 or 5x5), and the second a multiple of 17 (either 6x17 or 5x17). Patterns do exist in random sets of numbers, but not such consistent and elegant patterns. If these great Israelite leaders could have died at any random age between 100 and 150 years, there would be less than 1 chance in 6 million that these four persons would have died at exactly these ages, even accepting that humans could live to such improbably great ages. We could greatly reduce the odds by allowing, for example, Levi to die at either 137, 120 or 110 years, and so on, but the odds would remain so high as to rule out chance. So, these ages were assigned by numerology, not nature, and must not be regarded as historical information. The lifespans of Joseph and Joshua are shown in order to show how elegant the biblical numerology was, but they are not in the ancestry of Moses.We saw that 17 was an important number in early Hebrew numerology, and this continues with the Patriarchs, the most important Old Testament characters, and they share a very special pattern befitting their roles. If each of the Patriarchs could, by chance, have died in any year over a range of, say, one hundred years, there would be just one chance in one million that all three of them would have died on exactly the right year for the following configuration to work in the way it does:NameLifespanPatternJacob147(7x7) x 3Isaac180(6x6) x 5Abraham175(5x5) x 7Examining these supposed lifespans, we find that:Each lifespan involves a perfect square (7, 6 and 5) in a numeric series,The third factor also forms a series (3, 5, 7)In each case the sum of the factors is 17.We can then look at each of the remaining ancestors, back to Adam:NameLifespanPatternTerah2057x5 + 10x17Nahor1487x9 + 5x17Serug23012x5 + 10x17Reu2397x5 + 12x17Peleg2397x5 + 12x17Eber4647x8 + 24x17Shelah4337x6 + 23x17Arphaxad4385x6 + 24x17Shem600Note 1Noah95013x9 + 49x17 [7x7x17]Lamech7777x9 + 42x17 [7x6x17]Methuselah969Note 2Enoch962Note 2Jared895Note 2Mahalalel8955x9 + 50x17Cainan9106x10 + 50x17Enos9058x9 + 49x17Seth9125x9 + 51x17Adam9307x9 + 51x17 [3x17x17]Note 1: Shem is a special case, because he became a father at 100 and died at exactly 600 years. This simple combination is just as unlikely to result from numerology as from nature. It may be that in the course of transcription, the original values became lost, and the values of 100 and 600 were substituted after the original meanings of the patterns were lost.Note 2: Methuselah is special because he was the Bible's oldest living human and because there is a different pattern in his life: he became a father at 187 (11x17) and died at 969 (57x17). There is only 1 chance in 289 that the oldest living man would become a father at a multiple of 17 and then die at a multiple of 17 years. The patterns for Jared and Enoch have not been decoded at this stage, but it is likely that another, quite special pattern was shared by Methuselah, his father and grandfather.To say how long Moses lived after Adam, we add, not their lifespans, but the ages at which each person in the Old Testament genealogy became a father. While there is adequate detail in the Bible to list the ages of the biblical ancestors, there are important gaps and ambiguities in the ages at which fatherhood occurred. Moreover, the Bible often indicates that its characters became fathers long after people of the time would have already died, a physical impossibility if we reject the biblical ages. If these were real, historical people, they no doubt lived to an average of around fifty years, and probably became fathers by the time they were twenty years old.From the creation of Adam to the death of Moses is listed in the Bible as around 2600 years. If we accept that the biblical ages were assigned by numerology, not nature and assign 20 years from each generation to the next, then only around 550 years had actually passed, unless we add additional generations.