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Let $a$ and $b$ be two natural numbers whose greatest common divisor is $d$. Pro

Source: Eotvos 1901 p3

March 19, 2020
algebra

Problem Statement

Let aa and bb be two natural numbers whose greatest common divisor is dd. Prove that exactly dd of the numbers a,2a,3a,...,(bāˆ’1)a,baa, 2a, 3a, ..., (b-1)a, ba is divisible by bb.
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