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Understanding this proof for the proposition "For all integers a, gcd(9a+4, 2a+1) = 1. Proof: gcd(9a+4, 2a+1) = gcd(2a+1, a) = gcd(a, 1). Since gcd(a, 1)=1, gcd(9a+4, 2a+1) =1. I don't understand what they are doing in this proof? How did they find all this?
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