Question

Find the hcf and lcm of 612 and 1314 using prime factorisation method

Answer 1

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Answer 2

Answer:

HCF = 6

LCM = 134028

Step-by-step explanation:

Given : Numbers 612 and 1314

To find : The HCF and LCM of 612 and 1314 using prime factorization method?

Solution :

First we do the prime factorization,

$612=2\times2\times2\times2\times3$

$1314=2\times3\times7\times31$

The HCF is the highest common factor

So, The $HCF (612,1314)=2\times 3=6$

We know,

$\text{Product of two  numbers}=\text{HCF}\times \text{LCM}$

$612\times 1314=6\times \text{LCM}$

$\frac{612\times 1314}{6}=\text{LCM}$

$\text{LCM}=134028$

Therefore,

HCF = 6

LCM = 134028