What is the largest number to be divided into 31 and 45 leaving a remainder of 3?

To find the largest number that can be divided into 31 and 45 leaving a remainder of 3, we first subtract 3 from both numbers, resulting in 28 and 42. Next, we need to find the greatest common divisor (GCD) of 28 and 42, which is 14. Therefore, the largest number that meets the condition is 14.