pls explain the steps with example:
Find the largest number which divides 62,132,237 to leave the same remainder in each case?
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Answers (2)
You can restate this as
Find the largest number which divides 132 - 62 and 237 -132 (with no remainder).
That takes care of brute force use =)
Brute force reveals that the set of positive integer solutions is {1,5,7,35} of which 35 is the largest.
Not sure about how to solve more intelligently.
@Geezah: I interpreted "62,132,237" to mean "62, 132, and 237".
@gianlino: Thanks! It's so simple now that you point it out.