Use Euclid’s division algorithm to find the HCF of:
1260 and 7344

Academic Mathematics NCERT Class 10

Given: 1260 and 7344.

To find: Here we have to find the HCF of the given numbers.

Solution:

Using Euclid's division algorithm to find HCF:

Using Euclid’s lemma to get:

$7344\ =\ 1260\ \times\ 5\ +\ 1044$

Now, consider the divisor 1260 and the remainder 1044, and apply the division lemma to get:

$1260\ =\ 1044\ \times\ 1\ +\ 216$

Now, consider the divisor 1044 and the remainder 216, and apply the division lemma to get:

$1044\ =\ 216\ \times\ 4\ +\ 180$

Now, consider the divisor 216 and the remainder 180, and apply the division lemma to get:

$216\ =\ 180\ \times\ 1\ +\ 36$

Now, consider the divisor 180 and the remainder 36, and apply the division lemma to get:

$180\ =\ 36\ \times\ 5\ +\ 0$

The remainder has become zero, and we cannot proceed any further.

Therefore the HCF of 1260 and 7344 is the divisor at this stage, i.e., 36.

So, HCF of 1260 and 7344 is 36.

Simply Easy Learning

Updated on: 10-Oct-2022

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