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What is the greatest common divisor of the numbers 15 and 40?
To find the greatest common factor of two numbers, you first need to break them into their prime factors: 15 = 3x5 40 = 2x2x2x5 The next step is to identify any common factors. In this case, the only common factor is 5. Thus, the greatest common divisor of the numbers 15 and 40 is 5.
What is the gcf of 663 and 1547?
The first step in finding the greatest common factor is to break the numbers down into their prime factors: 663=3x13x17 1547=7x13x17 The next step is to identify any common factors. In this case, the common prime factors are 13 and 17. To find the greatest common factor we multiply these together: 13x17=221 So 221 is the GCF of 663 and 1547.
How do you solve two-step equations with fractions on one side?
Assuming you want to get rid of the fractions, you can multiply both sides of the equations by the greatest common factor of the fractions. Then you can solve the equation normally.
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
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.
