Question

the product of two numbers is 588 their lcm is 84 what is the hcf

Answer 1

Answer:

solution

HCF X LCM =1NO X 2 NO

HCF X 84=588

HCF =7

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Answer 2

Concept

The greatest common factor (HCF) of two numbers is the largest number that divides both  numbers perfectly. Highest Common Divisor (HCF) is also known as Greatest Common Divisor (GCD).

Given

We have been given that product of two numbers 588 and their LCM 84 .

Find

We are asked to determine the HCF of the given numbers .

Solution

The relation between HCF and LCM is given by

The product of LCM and HCF of the given natural numbers is equivalent to the product of the given numbers.

Mathematically it is represented by

$Product \ of \ two \ numbers \ = HCF\times LCM$     ..(1)

Putting $LCM=84$ and $Product=588$ in equation (1) , we get

               $588=HCF\times84\\\\HCF=\frac{588}{84} \\HCF=7$

Therefore, the HCF of the given number is 7 .

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