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Finding the Greatest Common Factor (Denominator)

We have the Fraction 24/30

We are going to try to find the Greatest Common Factor for the number 24 and 30 so we can reduce them.

Finding the Greatest Common Factor (Denominator)

First we have to determine if 24 (the smaller number) is an even or odd number.

Is 24 odd or even

1. odd
2. even

24 is an even number.

Even numbers can be divided by 2.

What is 24 divided by 2

Next we look at the result 12 and ask if that is also an even number?

Next we look at the result 12 and ask if that is also an even number?

1. Yes
2. No

What is 12/2

What is 6/2

Is 3 a prime number?

1. Yes
2. No

3 is a prime number which means we have completed factoring 24.

Now we have the prime numbers to use for getting our Greatest Common Factor. And we move them over to 32.

Is 32 an even number? Can it be divided by 2?

1. Yes
2. No

What is 32 divided by 2

8

16

4

1

Can't do it.

Last step is to multiply the numbers that both of them share. Multiply 2x2x2 which equals 8. 

The greatest common factor of 24 and 32 is 8.

So the original fraction 24/32 can be reduced to 

24/8