Here greatest number that can divide means the HCF

Remainder are different so simply subtract remainders from numbers

17 – 4 = 13; 42 – 3= 39; 93 – 15 = 78

Now let’s find HCF of 13, 39 and 78

By direct observation we can see that all numbers are divisible by 13.

HCF = 13 = required greatest number

What to do when we do not know the remainder and the largest number which

divides?

In such cases subtract the 3 numbers from each other

47 – 35 = 12

35 – 27 = 8

27 - 47 = -20 (Ignore minus sign)

Largest number is needed that means we need HCF of 12,8 and 20

Cannot divide further

HCF = 4 = largest number that can divide leaving common remainder

Common remainder = 3

Numerators = 36, 48 and 72.

We can see that they can be divided by 12.

on dividing by 12 we get 3,4 and 6.

We cannot divide further.

HCF = GCD of numerators = 12

150 is largest number among them. 75 can divide 150, so neglect 75.

Let’s find LCM of 150 and 135.

LCM of denominators = 5 × 3 × 3 × 3 × 10 = 1350

HCF of fraction = 12/1350