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
Answer (1)
8th Jan, 2024
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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