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The HCF of two numbers is 7 and their LCM is 434. If one of the numbers is 14, find the other.
Question

The HCF of two numbers is 7 and their LCM is 434. If one of the numbers is 14, find the other.

A.

146

B.

217

C.

52

D.

48

Correct option is B

Given:
HCF of the two numbers = 7
LCM of the two numbers = 434
One of the numbers = 14
Formula Used:
Product of two numbers = HCF × LCM
Solution:
Let the other number be b.
Substitute the values into the formula:
14×b=7×43414 × b = 7×434
b=7×43414b = \frac{7 \times 434}{14}​​
b=217b = 217​​
Thus, The other number is 217.

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