Question

If the product of two numbers is 2160 and their H.C.F. is 6, what will be the ratio between the H.C.F. and L.C.M. of those two numbers?
1. 60 : 1
2. 7 : 20
3. 1 : 60
4. 20 : 7

Answer 1

Correct Answer - Option 3 : 1 : 60

Given:

HCF = 6

Product of two numbers = 2160

Concept used:

If 'a' and 'b' are two numbers, then LCM × HCF = a × b

Calculations:

Let the first number be 'a' and second number be 'b'.

LCM × HCF = a × b

⇒ LCM × 6 = 2160

⇒ LCM = 360

HCF : LCM = 6 : 360

⇒ 1 : 60

∴ The ratio between the H.C.F. and L.C.M. of those two numbers is 1 : 60.