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Let m and n be positive integers such that m = 24n + 51. What is the largest possible value of the greatest common divisor of m and n?

 Nov 17, 2020
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 m = 24n + 51

 

n = 51   and   m =24*51 + 51

m = 1275

 

GCD(n, m) =GCD(51, 1275) = 51 - greatest value of GCD of n and m.

 Nov 17, 2020

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