If three numbers are in the ratio of 1 : 3 : 7, and their LCM is 336, then their HCF is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 16.
Let the numbers be x, 3x, and 7x
According to the question,
LCM(x, 3x, 7x) = 21x
LCM = 336 then,
⇒ 21x = 336
⇒ x = 336/21
⇒ x = 16
So, the numbers are = (16) : (3 × 16) : (7 × 16)
Hence,
The HCF of these numbers is 16