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## Homework Statement

If A is a set of integers and B is a set properly contained in A, does the greatest common denominator of all of the integers in A divide the greatest common denominator of all elements in B?

## Homework Equations

None.

## The Attempt at a Solution

Obviously gcd(A) divides any element of B, since anything in B is contained is also in A, but I can't get from there to anything about the relationship between gcd(A) and gcd(B).