Question

Find the greatest number which divides 11217 and 15949. Leaving remainder 11 in each case

Answer 1

Answer:

Subtract 11 from both the numbers

This means

11217 - 11 = 11206

15949 - 11 = 15938

Therefore after subtracting 11 we got 11206 and 15938

In the question it is mentioned greatest number this means we will take HCF.

After dividing them we will get the factors of both the the no.

i.e

11206 = 2 × 13 × 431

15938 = 2 × 2 × 3 × 3 × 443

The common factor in them is 2