What is the largest number that divides 25, 73, and 97 leaving the identical remainder in each case?

Explanation

To find the greatest number that leaves the same remainder when dividing 25, 73, and 97, calculate the differences between the numbers: 73 - 25 = 48 and 97 - 73 = 24. The greatest number that divides both 48 and 24 is their greatest common divisor, which is 24.