Henry Ernest Dudeney/Modern Puzzles/97 - A Common Divisor

by : $97$

 * A Common Divisor
 * Here is a puzzle that has been the subject of frequent inquiries by correspondents,
 * only, of course, the actual figures are varied considerably.
 * A country newspaper stated that many schoolmasters have suffered in health in their attempts to master it!
 * Perhaps this is merely a little journalistic exaggeration, for it is really a very simple question if you only have the cunning to hit on the method of attacking it.


 * This is the question:


 * Find a common divisor for the three numbers $480 \, 608$, $508 \, 811$, and $723 \, 217$, so that the remainder shall be the same in every case.