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IMAS 2015/2016 Junior Round 2 Question 13

IMAS · IMAS 2015/2016 Junior Round 2

Question 13

Let $a,b,c,d$ be four different non-zero digits. The greatest common divisor of the four-digit numbers $\overline{abcd}$ and $\overline{acbd}$ is $n$. What is the largest possible value of $n$?