HCF of 196 and 38220 by Long Division Method

To determine the Highest Common Factor (HCF) of 196 and 38220 using the long division method, we can follow these steps:

1. Step 1: Divide the larger number (38220) by the smaller number (196).
2. Step 2: Record the quotient and the remainder from this division.
3. Step 3: Replace the larger number with the smaller number and the smaller number with the remainder from the previous step.
4. Step 4: Repeat the division until the remainder is zero.
5. Step 5: The last non-zero remainder is the HCF.

Now, let’s perform the division:

1. We divide 38220 by 196:

38220 ÷ 196 = 195 with a remainder of 30.

2. Next, we replace 38220 with 196 and 196 with the remainder 30:

196 ÷ 30 = 6 with a remainder of 16.

3. Again, we apply the same process:

30 ÷ 16 = 1 with a remainder of 14.

4. Replace again:

16 ÷ 14 = 1 with a remainder of 2.

5. Continue the process:

14 ÷ 2 = 7 with a remainder of 0.

At this point, the remainder is zero, which means we stop here. The last non-zero remainder is 2.

Thus, the HCF of 196 and 38220 is 2.