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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

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Q: How can you find the GCF of whole numbers?
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How do you find the LCM in fractions?

You don't. LCM and GCF (HCF) refer to whole numbers. You can find the LCM of two whole numbers that happen to be denominators, but in that case we call it the LCD. You can find the GCF of two whole numbers that happen to be the numerator and denominator of a fraction, and that will let you know whether the fraction can be simplified.


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To find a pair of numbers with a given GCF, take the GCF number and double it. The pair of numbers is the GCF, and two times the GCF. For instance, two numbers with a GCF of 3 are 3 and 6.


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the GCF is only for whole numbers. if you open the door to decimals then you can find any number you want to be the greatest common factor


How do you find the gcf of 78?

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What 2 or more numbers for a gcf represent?

The GCF is the largest whole number that is a factor for both of the numbers of interest. GCF is useful when simplifying fractions.


What is the GCF of numbers for 21?

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