What is the largest number that, when dividing 19, 83, and 67, leaves a remainder of 3 each time?

Explanation

To solve this, subtract the remainder 3 from each number: 19 - 3 = 16, 83 - 3 = 80, and 67 - 3 = 64. Next, find the highest common factor (HCF) of 16, 80, and 64, which is 16. Therefore, the greatest number satisfying the condition is 16.