Question

What is the GCF and LCM for 52r2s, `78rs^2t`?

Answer 1

First factorize:
`52r^2s=2*2*13*r*r*s` and
`78rs^2t=2*3*13*r*s*s*t`

Explanation:

GCF :
Take all the common factors:
`2*13*r*s=26rs`

Check :
`(52r^2s)/(26rs)=2r` and `(78rs^2t)/(26rs)=3st` have no common factors

LCM :
Take all the factors to their highest degree:
`2*2*3*13*r*r*s*s*t=156r^2s^2t`

Check :
`(156r^2s^2t)/(52r^2s)=3st` and `(156r^2s^2t)/(78rs^2t)=2r`