Question

the LCM of two numbers is 128 and their product of 8192. find their HCF. solve

Answer 1

Hey

Here is your answer,

Product of two numbers = HCF x LCM
8192 = 128 x HCF
HCF = 8192/128
HCF = 64.

Hope it helps you!

Answer 2

Concept:

Mathematical expression is a mathematical relation or statement or term involves various mathematical quantities, numbers, mathematical operations, variable and other mathematical components etc.

From mathematical Identities we know that,

Product of two numbers = (LCM of numbers)*(HCF of numbers)

Given:

Given that the LCM of two numbers is 128 and their product of 8192.

Find:

The value of the HCF of that two numbers.

Solution:

Given that, the product of two numbers is 8192

and the LCM of the number is 128

Let the HCF be x.

According to mathematical identity,

128*x = 8192

x = 8192/128

x = 64

Hence the HCF of that two numbers whose LCM is 128 and product is 8192 is given by 64.

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