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MathNet 2011 Question 23

Math Olympiad Vault · MathNet 2011

Question 23

For positive integers $m, n$, let $\operatorname{gcd}(m, n)$ denote the largest positive integer that is a factor of both $m$ and $n$. Compute
$$
\sum_{n=1}^{91} \operatorname{gcd}(n, 91) .
$$