Find the HCF of : 1134, 1026 and 1242

Answer

To find the HCF (Highest Common Factor) of the numbers 1134, 1026, and 1242, we will follow these steps:

### Step 1: Find the HCF of the first two numbers (1134 and 1026)
1. **Divide 1134 by 1026**:
- 1134 ÷ 1026 = 1 (remainder 108)
- Calculation: 1134 - 1026 = 108

2. **Now, divide 1026 by the remainder (108)**:
- 1026 ÷ 108 = 9 (remainder 54)
- Calculation: 1026 - (108 × 9) = 1026 - 972 = 54

3. **Now, divide 108 by the new remainder (54)**:
- 108 ÷ 54 = 2 (remainder 0)
- Calculation: 108 - (54 × 2) = 108 - 108 = 0

Since the remainder is now 0, the HCF of 1134 and 1026 is **54**.

### Step 2: Find the HCF of the result (54) with the third number (1242)
1. **Divide 1242 by 54**:
- 1242 ÷ 54 = 23 (remainder 0)
- Calculation: 54 × 23 = 1242

Since the remainder is 0, the HCF of 1242 and 54 is also **54**.

### Conclusion
The HCF of 1134, 1026, and 1242 is **54**.

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