Three number are in the ratio of 4 : 5 : 6, and their LCM is 180. Their HCF is:
Show answer & explanation
Correct answer: A
Explanation
The Correct answer is option 1 i.e. 3.
Three numbers are given in the ratio of 4 : 5 : 6
Let these numbers are 4x, 5x, and 6x
LCM of (4x, 5x, 6x) = 60x
HCF of (4x, 5x, 6x) = x
According to the question
⇒ 60x = 180
⇒ x = 3
Hence, HCF is 3