Let $S$ be the set of all numbers of the form $abc$ where $(a,b,c)$ is a Pythagorean triple. Find the GCD of all elements of $S$.

These problems are from another site that I know! We'll just give you hints, not the full answer.

I think it is 60.

Help...

Can I have the solution, or hints, just not direct answers? Thanks!

@#2, How did you get 60?

Oh, I see.... 3x4x5.....hmmm....why is it correct thoe...

Nvm, I got the solution from somebody. THanks anyway.

You could share the solution with the forum Max

Some people have obviously been trying to answer this. So sharing your answer would be nice.