Monday, December 4, 2017

elementary number theory - If $gcd(a,b)=9,$ then what is $gcd(a^2,b^3),?$

I know that by the euclidean algorithm, I can obtain the following equations.


I tried some algebraic manipulation but I can't seem to determine, if $$\text{if }\;\gcd(a,b)=9,\text{ then what is }\gcd(a^2,b^3)\;?$$

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