14. The HCF and LCM of two numbers are 13 and 1989 respectively. W oft
is 117, find the other.
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Given : The HCF and LCM of two numbers are 13 and 1989 respectively. If one of the numbers is 117.
To find : The other number?
We know that,
\text{Product of two numbers}=HCF\times LCMProduct of two numbers=HCF×LCM
We have given HCF = 13
LCM = 1989
One number is 117
Let the other number be x
Substitute,
\text{Product of two numbers}=HCF\times LCMProduct of two numbers=HCF×LCM
117x=13\times 1989117x=13×1989
x=\frac{13\times 1989}{117}x=
117
13×1989
x=221x=221
Therefore, Other number is 221.
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