If x is the remainder when 2312, 1417, and 1059 are all divided by y (where y is greater than one), find the value of y – x.

Answer 1

since the remainders are equal,

2312-1417 = 895
2312-1059 = 1253
1417-1059 = 358

are all multiples of y.
The GCF of those is 179.

Divide any of the given numbers by 179 and the remainder is 164.

So, y-x = 179-164 = 15