Question : If three numbers are in the ratio of 1 : 3 : 7, and their LCM is 336, then their HCF is:
Option 1: 16
Option 2: 18
Option 3: 10
Option 4: 12
Answer (1)
18th Jan, 2024
Correct Answer: 16
Solution :
Three numbers are in the ratio of $1 : 3 : 7$.
Let the numbers be $x, 3x, 7x$.
Their LCM = $21x$
According to the question,
$21x = 336$
$\therefore x = 16$
So, the numbers are 16, 16 × 3 = 48, 16 × 7 = 112
$\therefore$ HCF of 16, 48, and 112 is 16.
Hence, the correct answer is 16.
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