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As $n$ ranges over the positive integers, what is the maximum possible value for the greatest common divisor of $11n+3$ and $6n+1$?

 Jan 23, 2023
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Greatest GCD of:

 

(11n  +  3)  and  (6n  +  1) is:

 

When n takes the values of: 1, 8, 15, 22, 29, 36........and so on. Or a(n) =7n  -  6.

 

Then the maximum GCD = 7

 Jan 23, 2023

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