Question

the LCM of 560 and 840 is 8400 find their HCF

Answer 1

Step-by-step explanation:

if the lcm of 560 and 840 is 8400, find their hcf

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 the LCM of 560 and 840 is 8400.

Find:

The value of the HCF of that two numbers.

Solution:

Given that, the LCM of 560 and 840 is 8400

So the numbers are 560 and 840

So the product of them is given by = 560*840

Let the HCF be x.

According to mathematical identity,

8400*x = 560*840

x = (560*840)/8400, on dividing 8400 from both sides

x = 560/10, eliminating the similar terms

x = 56

Hence the HCF of 560 and 840 is 56.

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