Question

If lcm and hcf of two numbers is equal and produc is 3136,find hcf

Answer 1

The HCF will be 56.
LCM*HCF=Number
Since, LCM and HCF are same.
(HCF)^2=3136
HCF=sqrt(3136)
Therefore HCF = 56

Hope it helps!

Answer 2

Given:

Product of 2 numbers=3136

To find:

The HCF of the numbers

Solution:

The two numbers' HCF is 56.

We have two numbers and their HCF, LCM is the same.

Let the equal values of the numbers' HCF, LCM be X.

We can multiply the numbers, and we will get the product of the LCM and HCF of numbers.

Using the values,

HCF×LCM=Numbers' product

X×X=3136

$X^{2}$=3136

X=$\sqrt{3136}$

X=56

So, HCF=LCM=56

Therefore, the two numbers' HCF is 56.