Question

Find hcf and lcm of 135 and 225 by euclids division lemma algorithm

Answer 1

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Answer 2

HCF of 135 and 225 is 45.

LCM of 135 and 225 is 675.

Step-by-step explanation:

To find : HCF and LCM  of 135 and 225 by Euclid's division lemma algorithm ?

Solution :

Using Euclid's division lemma algorithm,

$\text{Dividend}=\text{Quotient}\times \text{Divisor}+\text{Remainder}$

HCF of 135 and 225,

$225=135\times1+90$

$135=90\times1+45$

$90=45\times2+0$

HCF of 135 and 225 is 45.

We know that,

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

$135\times 225=45\times \text{LCM}$

$\text{LCM}=\frac{135\times 225}{45}$

$\text{LCM}=675$

LCM of 135 and 225 is 675.

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