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The LCM of 248 and 868 is 1736. What is the HCF?
Question

The LCM of 248 and 868 is 1736. What is the HCF?

A.

248

B.

1736

C.

868

D.

124

Correct option is D

Given:

The given two numbers are: 248 and 868
The L.C.M. of two numbers is 1736.
Formula Used:
L.C.M.×H.C.F.= First Number ×Second Number 
Solution:
The given two numbers are: 248 and 868
The L.C.M. of two numbers is 1736.
Let us assume that the H.C.F. of the two numbers is x .
 1736×x =248×868
=>x=248×8681736=>x =\frac{248×868 }{ 1736}​​
=> x=2482x=\frac{248}{2}​​
Dividing 248 by 2, we get
=>x=124 , Therefore, the H.C.F. of the given two numbers is 124.

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