To find the Highest Common Factor (HCF) of two numbers using the division method, follow these steps:

Example:

Let's find the HCF of 48 and 18.

Steps:

1. Divide the larger number by the smaller number:

   • Divide 48 by 18.
   • $48 \div 18 = 2$ remainder $12$.

2. Take the remainder as the new divisor and the previous divisor as the new dividend:

   • Now divide 18 (the previous divisor) by 12 (the remainder).
   • $18 \div 12 = 1$ remainder $6$.

3. Repeat the process until the remainder is zero:

   • Now divide 12 (the previous divisor) by 6 (the new remainder).
   • $12 \div 6 = 2$ remainder $0$.

4. The last non-zero remainder is the HCF:

   • Since the remainder is now 0, the last non-zero remainder is 6, which is the HCF of 48 and 18.

Summary:

• The HCF of 48 and 18 is 6.

This method is efficient and works by reducing the problem into smaller divisions until the remainder becomes zero.

Would you like more details on this method or have any questions?

Related Questions:

1. How is the HCF of three numbers found using the division method?
2. What is the difference between the HCF and LCM?
3. How do you find the HCF of two numbers using the prime factorization method?
4. Can the division method be used to find the HCF of large numbers?
5. How do you find the HCF of fractions using the division method?

Tip:

When working with larger numbers, using the division method can be more efficient than prime factorization.