Question

what is the greatest number which will divide 440 and 560 and leave reminder of 5 and 9 respectively​

Answer 1

Given:

what is the greatest number which will divide 440 and 560 and leave the remainder of 5 and 9 respectively

To find:

The greatest number.

Solution:

440 - 5 = 435

560 - 9 = 551

Now, we have to find common factors of 435 and 551 :

435 = 3 x 5 x 29

551 = 19 x 29

The common factor of 435 and 551 is 29

Hence, 29 is the greatest number which will divide 440 and 560 and leave the remainder of 5 and 9 respectively