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Diophantine Equationseasy
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If ax+by=cax + by = cax+by=c has a solution, what is the value of gcd⁡(ka,kb)\gcd(ka, kb)gcd(ka,kb) in terms of d=gcd⁡(a,b)d = \gcd(a, b)d=gcd(a,b) for k>0k > 0k>0?