Question

*यदि दो संख्याओं का गुणनफल 32 है तथा L.C.M. 8 है, तब उनका H.C.F. _____ होगा।*

1️⃣ 1
2️⃣ 2
3️⃣ 3
4️⃣ 4

Answer 1

Given:  

If the product of two numbers is 32 and L.C.M. is 8

To find:  

Their H.C.F.  

Solution:  

The product of two numbers = 32

The L.C.M. of the two numbers = 8

We know that → the product of the Highest Common Factor and the Lowest Common Multiple of two numbers is equal to the product of the two numbers.  

i.e.,  

$\boxed{\boxed{\bold{H.C.F.\times L.C.M. = Product\:of\:two\:numbers}}}$

 

Now, by substituting the given values in the formula above, we get  

$H.C.F. \times 8 = 32$

$\implies H.C.F. = \frac{32}{8}$

$\implies \bold{H.C.F. = 4}$

 

Thus, the correct answer is → option (4) → 4.

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