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As n ranges over the positive integers, what is the maximum possible value that the greatest common divisor of 13n + 8 and 5n + 7 can take?

 Apr 6, 2022
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n ==19

 

GCD{13*19 + 8}, {5*19 + 7} =={255,  102}==51 - maximum possible value of the GCD.

 Apr 6, 2022

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