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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.
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Items in this lesson
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.
Slide 1 - Slide
Finding the Greatest Common Factor (Denominator)
First we have to determine if 24 (the smaller number) is an even or odd number.
Slide 2 - Slide
Is 24 odd or even
A
odd
B
even
Slide 3 - Quiz
24 is an even number.
Even numbers can be divided by 2.
Slide 4 - Slide
What is 24 divided by 2
Slide 5 - Open question
Next we look at the result 12 and ask if that is also an even number?
Slide 6 - Slide
Next we look at the result 12 and ask if that is also an even number?
A
Yes
B
No
Slide 7 - Quiz
What is 12/2
Slide 8 - Open question
Slide 9 - Slide
What is 6/2
Slide 10 - Open question
Slide 11 - Slide
Is 3 a prime number?
A
Yes
B
No
Slide 12 - Quiz
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.
Slide 13 - Slide
Is 32 an even number? Can it be divided by 2?
A
Yes
B
No
Slide 14 - Quiz
Slide 15 - Slide
What is 32 divided by 2
Slide 16 - Open question
8
16
4
1
Can't do it.
Slide 17 - Drag question
Slide 18 - Slide
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.
Slide 19 - Slide
So the original fraction 24/32 can be reduced to
24/8
Slide 20 - Slide
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