Question

What is the greatest number that can divide 781 and 458 with remainder 1 and 3?

Answer 1

The numbers are given: 781 and 458

The remainders are 1 and 3 respectively

So 781-1= 780 and 458-3 =455

We need to find the greatest number that can divide the 780 and 455 evenly

So factors of 780= 5*156=5*2*78=5*2*2*39=5*2*2*2*3*13

Factors of 455=5*91=5*7*13

So the greatest common factor of the two numbers 780 and 455 is 65.

So 65 is the greatest number that can divide 781 and 458 with remainder 1 and 3.