The product of two numbers is 2744. If their L.C.M. is 196, what will be their H.C.F.?


Given : 

Product of two numbers $= 2744$

LCM of the numbers $= 196$

To do: 

We have to find the HCF of the numbers.  

Solution : 

We know that,

LCM $\times$ HCF of two numbers $=$ Product of the two numbers

$196\times$ HCF $= 2744$

HCF $= \frac{2744}{196}$ 

HCF $= 14$

Therefore, HCF of the two numbers is 14. 

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Updated on: 10-Oct-2022

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