Question

Find the hcf and lcm of 360, 756 by prime factorization

Answer 1

I HOPE IT HELPS YOU.

Answer 2

The HCF and LCM are 12 and 7560 respectively.

Step-by-step explanation:

Numbers are 360 and 756

HCF :

2 | 360    2 | 756

2 | 180     2 | 378

2 | 90      3 | 189

3 | 45      3 | 63

3 | 15       3 | 21

5 | 5        7 | 7

   | 1            | 1

$360 = 2 \times 2 \times 2 \times 3 \times 3 \times 5 \\756 = 2 \times 2 \times 3 \times 3 \times 3 \times 7\\HCF = 2 \times 2 \times 3 \\HCF =12$

LCM:

2 | 360 , 756

2 | 180,378

2 | 90 , 189

3 | 45 , 189

3 | 15 , 63

3 | 5 , 21

5 | 5 , 7

7 | 1 , 7

  | 1 ,1

$LCM = 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 5 \times 7=7560$

Hence The HCF and LCM are 12 and 7560 respectively.

#Learn more:

Find the HCF and LCM of 288, 360 and 384 by prime factorization method

https://brainly.in/question/4508106