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The HCF of two numbers is 11 and their LCM is 693. If one of the numbers is 77 find the other.
Question

The HCF of two numbers is 11 and their LCM is 693. If one of the numbers is 77 find the other.

A.

66

B.

99

C.

55

D.

44

Correct option is B

Given:
HCF = 11
LCM = 693
One of the numbers = 77
Formula Used:
HCF × LCM = Product of the two numbers
Solution:
Let the other number be x.
77 × x = 11 × 693
x = (11×693)77\frac {(11 × 693)}{ 77} ​= 99
The other number is 99.

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