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The sum of two positive integers a and b is 80. What is the largest possible value of gcd(a,b) + lcm(a,b)?

 Jun 20, 2022
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a==39,  b==41


LCM(39, 41) ==1,599


GCD(39, 41) == 1


LCM + GCD ==1,599 + 1==1,600 - is the largest possible.

 Jun 20, 2022

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