To find the highest common factor (HCF) of 18 and 48 using the division method, we start by dividing the larger number by the smaller number and examine the remainder.
1. Divide 48 by 18. The quotient is 2 and the remainder is 12 (since 48 – 2 × 18 = 12).
2. Now, we take the divisor (18) and divide it by the remainder (12). This gives us a quotient of 1 and a remainder of 6 (since 18 – 1 × 12 = 6).
3. Next, we take the previous remainder (12) and divide it by the new remainder (6). The quotient is 2 and the remainder is 0 (since 12 – 2 × 6 = 0).
Since we have reached a remainder of 0, we look at the last non-zero remainder, which is 6. Therefore, the HCF of 18 and 48 is 6.