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How do you express the greatest common factor of 80?
This cannot be done for a single number. To find a common factor you must have two or more numbers.
What is the greatest common factor of 51 and 85?
The greatest number which divides both 51 and 85 is 17. So, greatest common factor is 17.Alternate method:P.F. of 51 = 3x17P.F. of 85 = 5x17Clearly, from the P.F. of both numbers 17 is the greatest common factor.The GCF is 17.51 and 85's highest common factor is 17.
How do you figure what fraction 21 of 56 is?
Find a common factor of 21 and 56 and divide both by that factor to give two new numbers. If necessary, repeat the process with a common factor of these two numbers and so on. This looping can be done in one step if you can find the greatest common factor. So, for 21 and 56, the GCF = 7 So 21/56 = (21/7) / (56/7) = 3/8
What is the greatest common factor of 22 and 66?
The greatest common factor of 22 and 66 can be done in a split second. I am assuming the person who asked this question knew that 2 x 3 = 6. Multiplication works in your favor. When doing 22 x 3, You do 2x 3, and then 2x 3 again, thus getting 66. The answer is therefore 22.
What means to divide the numerator and the denominator of the ratio by the same factor?
To divide the numerator and the denominator of a ratio by the same factor means to simplify or reduce the ratio. This is done by dividing both numbers in the ratio by their greatest common factor, which results in an equivalent ratio.
What is the greatest common factor of 63 81 and 18?
well 18: 2 times 3 times 3 and 63: 3 times 3 times 7 and 117:3 times 3 times 13 the number tat ocurs the most is :3 and 3 so u multiply 3 times 3 = 9 so the GCD IS 9! hope this helps and byee done by: Paven Samrai
How do you factor 4x plus 12y?
To factor 4x + 12y, you first need to find the greatest common factor of the coefficients 4 and 12, which is 4. Then, you factor out the common factor from the terms: 4(x + 3y). This is the factored form of 4x + 12y.
Common factor of 9 and 12?
Take the number 9 and figure out what whole numbers you could multiply together to get that answer. Exclude the numbers and 9. Now take the number 12 and figure out what whole numbers you could multiply to get it. Exclude 1 and 12.When you're all done, look at them to see what number they have in common. That will be your common factor!
How do you Factorize 6y plus 9?
Oh, dude, it's like super easy. So, you can factor out the greatest common factor, which in this case is 3. So, you get 3(2y + 3). And that's it, you're done! Math problem solved, like, no big deal.
How do you simplify the ratio 21.15?
Divide both sides of the ratio by any common factor until the only common factor is 3; this can be done in one step by dividing both sides by the highest common factor of the sides. For 21:15 the highest common factor is 3, so divide both sides by 3. Thus: It would simplify to 7:5
Why is it easier to divide the numerator and denomenator by the gcf rather than any other number when simplifying a fraction?
It is preferable because this is the purpose, the ultimate aim, of simplification. You can only simplify to the extent that the greatest common factor will allow. You can do so in one step by finding the greatest common factor, or you can do so in multiple steps by first dividing by a lower factor (when you are finished you will see that all the lower factors multiply to give the gcf). Sometimes it is easier to do the task in multiple steps rather than searching for the gcf, but if you can identify the gcf then your simplification will be done in just one step.
What is the definition of greatest common factor?
GCF The greatest common factor (or GCF, also HCF, highest common factor) of a group of positive integers is the largest positive integer by which any of the numbers can be divided to yield another integer.To find the GCF, list the factors of each of the numbers in a set, then locate the largest integer that is a factor for all of them. This is the greatest common factor.Here's an example problem : What is the GCF of 24 and 40?The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.The factors common to both are 1, 2, 4, and 8. But the greatest is, of course, 8.There can be no Greatest Common Factor (GCF) for a single number. The Greatest Common Factor (GCF) is the largest factor common to two or more given numbers. You can also see that it is a multiple of every common factor.So rather than list ALL the factors of a number (which could be numerous), the GCF can be discovered as the product of all prime common factors. For example :For the two numbers 168 and 210, the prime factors are found by division.168 = 2 x 2 x 2 x 2 x 3 x 7420 = 2 x 2 x 3 x 5 x 7and the factors they have in common are 2, 2, 3, and 7. Multiplying yields the GCF 84. (We counted 2 twice because it appears twice in each of the numbers.)The GCF is the largest number that divides evenly into each of a given set of numbers.Euclidean AlgorithmIt is not necessary to actually list the factors of all numbers to get the GCF for only two numbers. You can use the Euclidean algorithm.(1) Divide the larger number by the smaller one.(2) If there is no remainder, the GCF is the same as the smaller number.(3) Repeat step 1 with the smaller number and the remainder.Example:GCF of 51 and 85.85/51=1 R 3451/34=1 R 1734/17=2 R 0
