Find the HCF of the numbers in each of the following, using the division method :
1045, 1520

Options

A. 92
B. 93
C. 94
D. 95

Answer

To find the HCF (Highest Common Factor) of the numbers 1045 and 1520 using the division method, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Numbers**: We need to find the HCF of 1045 and 1520.

2. **Divide the Larger Number by the Smaller Number**:
- Divide 1520 by 1045.
- \( 1520 \div 1045 = 1 \) (quotient)
- Remainder = \( 1520 - (1 \times 1045) = 1520 - 1045 = 475 \)

3. **Repeat the Process**: Now, we use the previous divisor (1045) and the remainder (475).
- Divide 1045 by 475.
- \( 1045 \div 475 = 2 \) (quotient)
- Remainder = \( 1045 - (2 \times 475) = 1045 - 950 = 95 \)

4. **Continue the Division**: Now, we use 475 and the new remainder (95).
- Divide 475 by 95.
- \( 475 \div 95 = 5 \) (quotient)
- Remainder = \( 475 - (5 \times 95) = 475 - 475 = 0 \)

5. **Identify the HCF**: Since the remainder is now 0, the last divisor (95) is the HCF of 1045 and 1520.

### Final Answer:
The HCF of 1045 and 1520 is **95**.

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