Finding the GCF will help you when you are trying to reduce fractions.
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you divide the number by itself then you add the same number onto it and then divide by 3. this is a very uselful trick that my maths teacher, mr plunkstick, told me
Factors of 6 are 1, 2, 3 and 6.Factors of 40 are 1, 2, 4, 5, 8, 10, 20 and 40.Common factors are 1 and 2. Therefore, the greatest common factors(gcf) is 2.Alternate method:The method used above is not useful for finding GCF of larger numbers.However, the method of prime factorization is very useful and simple for finding GCF.Prime factorization of 6 = 2x3Prime factorization of 40 = 2x2x2x5It is clear from the factorization of both numbers that 2 is the GCF.
The greatest common factor of 42 and 126 is 42. For future reference, to find greatest common factors, list all of the factors of each number, find all factors in common that the numbers have, and choose the largest one. For example, The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, and 42 The factors of 126 are: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, and 126. The common factors between 42 and 126 are: 1, 2, 3, 6, 7, 14, 21, and 42. The largest number in the grouping of common factors is 42, therefore the greatest common factor between 42 and 126 is 42. Of course that's the long and tedious way. Trick: Trial and error 1) Try if you can evenly divide the smaller number by the larger one. That is find a number a such that a x 42 = 126. You can easily find a this case, a = 2. So, the smallest common factor is 42. 2) If you cannot find one right away, divide them by the obvious common factor, in this case, since they are both even, divide by 2. Then try 1) again. But do this only if 1) fails repeat 2) for a while. If you cannot find one for, say a long time, use the long way or You keep trying and reduced it to two numbers that obviously have no common factor, then you multiply all the factors you had from 2)'s and that's your answer (so something like 2 x 2 x 2 x ......x 2 x 3 x 3 x ..... = 42)
It is a factor (96/6=16). There is a trick that can help you remember if 6 is a factor. It has to be divisible by two (ie if it ends in a even number) and be divisible by 3. The trick for finding if it's divisible by three is to add up all of its digits. In this case, you would do 9+6, which gives you 15. If you do that again (1+5), that gives you 6, which is a known multiple of three.
This is a trick question. When referring to the Lowest Common Multiple, you are comparing two numbers and finding the lowest multiple that they both have in common. As there is only 1 number, it isn't comparing it. The LCM of 43 and itself would be 43, because 43 is a multiple of itself.