Question

Find the largest number that divides 48 and 72 without leaving a remainder.

Answer 1

6 is the largest number that divides 48 and 72

Answer 2

Answer:

8

Step-by-step explanation:

Given : Number : 48 and 72

To Find :Find the largest number that divides 48 and 72 without leaving a remainder.

Solution :

We will find the HCF of 48 and 72

2 |  48          2 |  72

2 |  24          2 |  36

2 |  12          2  |   18

2 |  6           3  |   9  

3 | 3            3  |   3

  | 1                 | 1

$48 =2 \times 2 \times 2 \times 2 \times 3$

$72 =2 \times 2 \times 2 \times 3 \times 3$

$HCF =2 \times 2 \times 2$

$HCF =8$

Hence the largest number that divides 48 and 72 without leaving a remainder is 8