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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 $a$?

 Jun 27, 2021
 #1
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The possible values of a are 2, 3, 5, 7, for a total of 4 possible values.

 Jun 30, 2021
 #2
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can you please explain how you got that answer

Guest Jul 1, 2021
 #3
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and you answer is completly incorrect

Guest Jul 1, 2021

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