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
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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Question : Three numbers are in the ratio of 5 : 7 : 9 and their LCM is 34,650. Their HCF is:
Option 1: 315
Option 2: 55
Option 3: 110
Option 4: 99
Question : The ratio of two numbers is 3 : 4 and their HCF is 5. Their LCM is:
Option 1: 10
Option 2: 60
Option 3: 15
Question : The ratio of two numbers is 7 : 13 and their HCF is 8. Their LCM is:
Option 1: 628
Option 2: 782
Option 3: 872
Option 4: 728
Question : The ratio of the two numbers is 5 : 7 and their HCF is 3. Their LCM is:
Option 1: 75
Option 2: 105
Option 3: 125
Option 4: 35
Question : Determine the LCM of two numbers if their HCF is 12 and their ratio is 13 : 15.
Option 1: 1780
Option 2: 2450
Option 3: 1890
Option 4: 2340
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