Find the HCF of 63 and 84.

Answer

To find the HCF (Highest Common Factor) of 63 and 84 using the Continuous Division Method, follow these steps:

### Step 1: Identify the Numbers
Identify the two numbers for which you want to find the HCF. Here, the numbers are 63 and 84.

### Step 2: Set Up the Division
In the Continuous Division Method, the larger number is the dividend and the smaller number is the divisor. So, we set up the division as follows:
- Dividend = 84
- Divisor = 63

### Step 3: Perform the Division
Now, divide 84 by 63:
- Quotient = 1
- Remainder = 84 - 63 × 1 = 84 - 63 = 21

### Step 4: Continue the Division
Now, take the previous divisor (63) as the new dividend and the remainder (21) as the new divisor:
- New Dividend = 63
- New Divisor = 21

Now, perform the division again:
- Quotient = 3
- Remainder = 63 - 21 × 3 = 63 - 63 = 0

### Step 5: Identify the HCF
Since the remainder is now 0, the last divisor (21) is the HCF of 63 and 84.

### Final Answer
Thus, the HCF of 63 and 84 is **21**.

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