Question

Three numbers are in the ratio 3 : 5 : 7 and their LCM is 2520. Their HCF is​

Answer 1

Answer:

Let us consider the number be 3x,7x and 5x

The L.C.M of the three numbers be =105x

105x = 2520

x = 2520/105

x = 24

Then the number be

3x = 3 × 24 = 72

4x = 7 × 24 = 168

5x = 5 × 24 = 96

∴ The HCF of the three numbers be 24.

Answer 2

∴ The HCF of the three numbers be 24.