Oh, Gcd!

Number Theory Level 3

a,ba, b are positve integers such that gcd⁡(a,b)=1 \gcd(a,b) = 1 . For any natural mm, given n=a+bm n = a + bm ,

Evaluate gcd⁡(a−b+bm,a−b+bn)\gcd (a-b+bm, a-b+bn).

Daren Lobo by Daren Lobo
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