Question

If product of two numbers is 32 and L.C.M. is 8 then its H.C.F.
is.
a. 4
b. 2
c. 1
d.o​

Answer 1

Answer:

option a is correct answer 4

Step-by-step explanation:

32 = 1×32

= 2×16

= 4×8

8 = 1×8

2×4

therefore the hcf will be 4.

hope it's helpful to you.

Answer 2

Given:

The product of the two numbers is 32 and LCM is 8.

To find:

The HCF.

Solution:

The correct option is a. 4.

To answer this question, we will follow the following steps:

First of all, we should know that the product of two numbers a and b is equal to the multiplication of their HCF and LCM.

This means,

$a \times b = HCF \times LCM$

Also, HCF is the highest common factor between given numbers.

Now,

as given in the question,

The product of two numbers = 32

The LCM of two numbers = 8

So,

HCF is given by:

$32 = \: HCF \times 8$

$HCF \: = 4$

Hence, the HCF of two numbers is a. 4.