For any integer x prove that, gcd(a,b)=gcd(b,a)=gcd(a,-b)=gcd(-a,b)=gcd(a,b+ax)

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Number theory theorms
For any integer x prove that, gcd (a,b) = gcd (b,a)= gcd(a,-b) = gcd(-a,b) = gcd(a,b+ax)

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