What is the largest number that, when dividing 47, 215, and 365, leaves the same remainder in each instance?

Explanation

To find the greatest number that leaves the same remainder when dividing 47, 215, and 365, calculate the differences between the numbers: 215 - 47 = 168, 365 - 215 = 150, and 365 - 47 = 318. Next, find the highest common factor (HCF) of these differences. The HCF of 168, 150, and 318 is 6. However, since the question asks for the greatest number that leaves the same remainder, the answer is 5.