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

Question

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

Team Careers360 · Accepted Answer

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,
$21x = 336$
$ herefore x = 16$
So, the numbers are 16, 16 × 3 = 48, 16 × 7 = 112
$ herefore$ HCF of 16, 48, and 112 is 16.
Hence, the correct answer is 16.

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Question : If three numbers are in the ratio of 1 : 3 : 7, and their LCM is 336, then their HCF is:Option 1: 16Option 2: 18Option 3: 10Option 4: 12

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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