Originally posted by SVTour98:
Hoping you guys can help me out here, I have a math problem that I cannot figure out for the life of me! And I'm sure most of you guys will know it in a heartbeat...

"True or false? If true, give a justification (not just an example). If false, give a counterexample. Assume a, b, and c are natural numbers.

part 1) If "a" is a factor of "b" then GCF (a,b) = a

part 2) If GCF (a,b) = x and GCF (a,c) = x, then b = c "

Thanks if you guys can help out!



1.) false

If you look at #1, you can see that the greatest common factor is not necessarily "a". "a" could be any factor and there could still be a greater common factor.

2.) true

Since "a" is equal in both equatios and X is a GCF for both, then the only way that can happne is if b=c.
You can set up a couple of examples I think to prove it.

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