Biggest Divisor Same Remainder

What is the largest number that, when divided into each of 1905, 2587, 3951, 7020 and 8725, leaves the same remainder each time?

When a problem seems difficult a good strategy is to try a simple case.

The diagram should help you to find the answer to the same question for 79, 35 and 57 and it should give you a hint for the method to use for the more difficult problem.

Click here to download BIGGEST DIVISOR SAME REMAINDER worksheet.

See the Notes for Teachers.