prove that gcd(((a^m)-1)/(a-1));(a-1))=((a-1);m)

Help would be really appreciated.

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- Nov 17th 2013, 06:01 AM #1

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## Re: Another GCD problem

I would like to see a solution of this problem using Bezout's theorem.

Here is a reference to Bezout's theorem as seen in Wikipedia

Bézout's theorem - Wikipedia, the free encyclopedia

.....X and Y are two algebraic curves in the Euclidean plane whose implicit equations are polynomials of degrees m and n without any non-constant common factor, then the number of intersection points does not exceed mn.

Thanks