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# How did you find a pair of numbers whose GCF is 9 and whose LCM is 54?

Updated: 9/22/2023

Wiki User

8y ago

Every time I've seen a similar question, one of the numbers is a multiple of the other and the two numbers satisfy the requirements. 9 and 54 have a GCF of 9 and an LCM of 54.

Another way to solve it: The product of the GCF and LCM of two numbers is equal to the product of the two numbers. 9 x 54 = 486. Now you're looking for another factor pair of 486 that satisfy those requirements. 18 and 27 do that.

Wiki User

8y ago

Wiki User

10y ago

If p and q are any two coprime factors of LCM/GCF = 6, then p*GCF and q*GCF will be an answer.

So two possible pair of answers are obtained by (p,q) = (1, 6) and (2, 3)

And the answers are: (, 54) and (18, 27).

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Q: How did you find a pair of numbers whose GCF is 9 and whose LCM is 54?
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