Find the HCF of the numbers in each of the following, using the division method :
1794, 2346, 4761

Answer

To find the HCF (Highest Common Factor) of the numbers 1794, 2346, and 4761 using the division method, we will follow these steps:

### Step 1: Divide the first two numbers
We start by dividing the larger number by the smaller number.

1. **Divide 4761 by 2346**:
- 4761 ÷ 2346 = 2 (Quotient)
- Remainder = 4761 - (2 × 2346) = 4761 - 4692 = 69

### Step 2: Use the remainder to divide the smaller number
Now, we take the divisor (2346) and the remainder (69) and divide them.

2. **Divide 2346 by 69**:
- 2346 ÷ 69 = 34 (Quotient)
- Remainder = 2346 - (34 × 69) = 2346 - 2346 = 0

### Step 3: Check for the next step
Since the remainder is now 0, we conclude that the divisor in this step (69) is the HCF of 4761 and 2346.

### Step 4: Now find HCF with the third number
Next, we will use the HCF we found (69) and the third number (1794) to find the overall HCF.

3. **Divide 1794 by 69**:
- 1794 ÷ 69 = 26 (Quotient)
- Remainder = 1794 - (26 × 69) = 1794 - 1794 = 0

### Step 5: Conclusion
Since the remainder is 0 again, the HCF of 1794, 2346, and 4761 is 69.

### Final Answer
The HCF of 1794, 2346, and 4761 is **69**.

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