How do you find the HCF of 18 and 48 using the division method?

To find the Highest Common Factor (HCF) of 18 and 48 using the division method, you can follow these steps:

1. Divide the larger number by the smaller number: Start with the two numbers, which are 48 and 18. Divide 48 by 18.
2. Calculate the quotient and remainder:

   When you divide, you calculate:

   48 ÷ 18 = 2 remainder 12

   This means that 48 can be expressed as:

   48 = (18 × 2) + 12

3. Now, take the divisor (18) and the remainder (12): Next, repeat the process by dividing the previous divisor (18) by the remainder (12).
4. Repeat the division:

   18 ÷ 12 = 1 remainder 6

   This means:

   18 = (12 × 1) + 6

5. Continue the process: Now take 12 and divide it by the new remainder (6).
6. Perform the division:

   12 ÷ 6 = 2 remainder 0

   Thus:

   12 = (6 × 2) + 0

7. Determine the HCF: When you reach a remainder of 0, the divisor at that step is the HCF. Here, since the last divisor is 6 and the remainder is now 0, the HCF of 18 and 48 is 6.

In summary, the HCF of 18 and 48 using the division method is 6.