[ GCD and LCM. Mutual simplicity ]

For the 57th school anniversary, the Moscow Mint issued commemorative coins worth 57 kopecks. And for the 239th school anniversary, the Saint Petersburg Mint issued coins worth 239 kopecks.

To ensure no one felt left out, the amount of money issued both times was the same. Will Oleg and his 36 friends be able to divide all the issued coins so that each person gets the same number of coins?

#
The numbers 57 and 239 are coprime, so the number of coins worth 57 kopecks is 239n and the number of coins worth 239 kopecks is 57n, where $n$ is some natural number. Thus, the total number of coins issued is $(239+57) n=296 n$, and 296 is divisible by 37.

## Answer

They can.