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If $a$ and $b$ are positive integers such that $\gcd(a,b)=210$, $\mathop{\text{lcm}}[a,b]=210^3$, and $a < b$, how many possible values are there for $a$?

 Jul 15, 2021
edited by Guest  Jul 15, 2021
edited by Guest  Jul 15, 2021
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There are 12 possible values of a.

 Aug 30, 2021

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