Asked by excel

find the least positive integer N so that 1<gcd(N, 271) < gcd(N, 2014). Explain how you find N.

Thanks for your help
Answered by Steve
271 is prime, so N is a multiple of 271
2014 = 2*19*53,

If N = 271*2*2014, GCD(N,2014) = 2*271 and GCD(N,271) = 271

So, it appears to me that 271*2*2014 is the smallest N that fits the requirements
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