SSC GD 2019 PYQ — Question 64

SSC GD Constable (English) - 12 Feb 2019 Shift 2 • Quantitative Aptitude • Q64

What will be the ratio of Highest common Factor and Least Common Multiple of two numbers 16 and 20?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 1 : 20.

Understanding/Application

Factors of 16 = 24

Fcators of 20 = 22 × 5

H.C.F is the product of common factors and L.C.M is the product of highest powers of all factors.

L.C.M of (16, 20) = 24 × 5 = 80

H.C.F of (16, 20) = 22 = 4

Required ratio = H.C.F/L.C.M = 4 : 80 = 1 : 20