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If a, b, and c are positive integers such that gcd(a,b) = 168 and gcd(a,c) = 88, then what is the smallest possible value of gcd(b,c)?

 Nov 26, 2020
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Here is just one way:

 

a =1848,  b = 168,   c = 88

GCD(a, b) =GCD(1848 , 168) = 168

GCD(a, c) =GCD(1848, 88)    = 88

GCD(b, c) =GCD(168, 88)      = 8 

 Nov 26, 2020

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