Henry Ernest Dudeney/Modern Puzzles/97 - A Common Divisor
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Modern Puzzles by Henry Ernest Dudeney: $97$
- 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.
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Sources
- 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Arithmetical and Algebraical Problems: Various Arithmetical and Algebraical Problems: $97$. -- A Common Divisor
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Miscellaneous Puzzles: $179$. A Common Divisor