How is GCF determined?

Answer 1

Suppose you have 2 numbers: EXAMPLE 15 and 25. you take the numbers and first put a 1 under it: 15 25 Then you get other numbers that can multiply into your

1, 1,

numbers: 15 25 Notice: I highlighted 1 and 15, 1 and 25 those are the

1,3,5,15 1,5,25

numbers you ALWAYS have to put in for whatever numbers you may have. Next, you have to write the Greatest number that is common in both numbers. In this case, it would be 5. See..... 15 25 :D Hope this helps you!

1,3,5,15 1,5,25

Answer 2

For a set of numbers their GCF shares the factors which have the set of numbers in common.

e.g. Let us consider two numbers: 36 and 24.

GCF of 36 and 24 is 12 and the factors of 12 are 1, 2, 3, 4, 6 and 12.

Factors of 24: 1, 2, 3, 4, 6, 12 and 24.

Factors of 36: 1, 2, 3, 4, 5, 6, 9, 12 and 36.

Common factors of 24 and 36: 1, 2, 3, 4, 6 and 12.

As it can be seen that factors of GCF are the common factors shared by 36 and 24.

Answer 3

Example: 30 and 42

Factor them.

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the common factors.

2 x 3 = 6, the GCF

Answer 4

When you want to reduce fractions to their simplest form.

Answer 5

This is usually the firts type of factoring taught.

So you should try it as the first step in any factoring problem, if it doesn't work go on to the next type.

Answer 6

When you are simplifying fractions.