Question

if LCM of 54 and 336 is 3024 find HCF of 54 and 336

Answer 1

Given :

Numbers = 54and 336

LCM = 3024

Solution :

Formula:

HCF = Product of the numbers/ LCM

HCF=( 54 x 336) /3024

HCF = 18144/3024

HCF= 6

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Answer 2

The HCF of the two numbers = 6

Given :

The LCM of two numbers 54 and 336 is 3024

To find :

The HCF of two numbers

Concept :

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

LCM :

For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

Relation between HCF and LCM :

HCF × LCM = Product of the numbers

Solution :

Step 1 of 2 :

Write down LCM

Here it is given that LCM of two numbers 54 and 336 is 3024

Step 2 of 2 :

Find the HCF

We know that

HCF × LCM = Product of the numbers

$\displaystyle \sf{ \implies HCF \times 3024 = 54 \times 336}$

$\displaystyle \sf{ \implies HCF = \frac{54 \times 336}{3024} }$

$\displaystyle \sf{ \implies HCF = \frac{54 }{9} }$

$\displaystyle \sf{ \implies HCF = 6}$

Hence HCF of the two numbers = 6

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