Question

Use euclid division method to find the hcf of 612 and 408 also find their lcm using their hcf

Answer 1

The HCF is 204 and LCM is 1224.

Step-by-step explanation:

To find : Use Euclid division method to find the HCF of 612 and 408 also find their LCM using their HCF ?

Solution :

The HCF of 612 and 408 will be written using division rule,

$612= 408\times1 + 204$

$408 = 204\times 2+0$

The remainder becomes 0.

So, the HCF of 612 and 408 is 204.

We know,

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

$612\times 408=204\times LCM$

$LCM=\frac{612\times 408}{204}$

$LCM=1224$

Therefore, the HCF is 204 and LCM is 1224.

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