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
Correct Answer: 110
Solution : Let the number be $5x,7x$ and $9x$. Given: LCM = 34650 LCM of $5x,7x$ and $9x$ = $315x$ Thus, $315x=34650$ ⇒ $x=\frac{34650}{315}= 110$ HCF of $5x,7x$ and $9x=x=110$ Hence, the correct answer is 110.
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