Finding HCF using Division Method

Division method is one of the simplest methods to find the HCF (Highest Common Factor) of two or more numbers. HCF is the largest positive integer that divides two or more integers without leaving any remainder. In the division method, we divide the larger number by the smaller number repeatedly until we get a remainder of zero. The last divisor is the HCF of the given numbers. Here, we will discuss how to find HCF using division method.

Steps to Find HCF Using Division Method

Let's understand the steps to find the HCF of two numbers using division method:

Step 1: Write the given numbers in a row.

Step 2: Choose the smaller number and divide it with the larger number. Write down the quotient and remainder obtained.

Step 3: Now, divide the divisor (i.e., the smaller number) by the remainder obtained in the previous step. Write down the quotient and remainder obtained.

Step 4: Repeat step 3 until the remainder obtained is zero.

Step 5: The last divisor is the HCF of the given numbers.

Example:

Let's find the HCF of 184 and 230 using division method.

Solution:

Step 1: Write the given numbers in a row.

184, 230

Step 2: Choose the smaller number and divide it with the larger number. Write down the quotient and remainder obtained.

230 ÷ 184 = 1 remainder 46

Step 3: Now, divide the divisor (i.e., 184) by the remainder obtained in the previous step. Write down the quotient and remainder obtained.

184 ÷ 46 = 4 remainder 0

Step 4: As the remainder obtained is zero, we stop dividing further.

Step 5: The last divisor is the HCF of the given numbers.

Therefore, HCF of 184 and 230 is 46.

Conclusion:

Division method is an easy and quick method to find the HCF of two or more numbers. It is useful when the numbers are large or when we need to find the HCF of more than two numbers. By following the above steps, we can find the HCF of any given numbers using division method.