# What is the GCF and LCM for #22xy^2z^2#, #33x^2yz^2#, #44x^2yz#?

GCF:

LCM:

GCF:

LCM:

Basically we want the smallest term we can get that is a multiple of all three of these terms, i.e.: the smallest non-zero number (or monomial) that is perfectly divisible by all three terms.

We separate the variables and constants to make our life easier, so we need to find the LCM of 22, 33 and 44, so by the rules of that (divide by the smallest prime and work up)

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The GCF is 11xyz and the LCM is 132x^2y^2z^2.

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