SOLUTION: When 391758 and 394915 are divided by a certain three digit number, the three digit remainder is the same i each case. Find the divisor.

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Question 785747: When 391758 and 394915 are divided by a certain three digit number, the three digit remainder is the same i each case. Find the divisor.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
391758-394915 ==3157

391 758 and 394 915 have the same remainder when divided by a certain three digit number.
The difference between 391 758 and 394 915 has remainder zero when divided by this number.
Factors of 3 157 = 7*11*41 so 3 157
77*41 Or
287 *11
OR 11*44=451
either 287 is the number OR 451 is the number since divisor is 3 digit.
Divide both the numbers by 287 and 451. to find out which gives same remainder