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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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