Find the HCF of each of the following by common division method.
140, 210

Answer

To find the HCF (Highest Common Factor) of 140 and 210 using the common division method, follow these steps:

### Step-by-Step Solution:

1. **List the Numbers**: Start with the two numbers for which we need to find the HCF.
- Numbers: 140 and 210

2. **Divide the Larger Number by the Smaller Number**:
- Divide 210 by 140.
- Calculation: 210 ÷ 140 = 1 with a remainder of 70.
- So, we write: 210 = 140 × 1 + 70

3. **Replace the Larger Number with the Smaller Number**:
- Now, replace 210 with 140 and 140 with the remainder 70.
- New pair: 140 and 70

4. **Repeat the Division**:
- Divide 140 by 70.
- Calculation: 140 ÷ 70 = 2 with a remainder of 0.
- So, we write: 140 = 70 × 2 + 0

5. **Identify the HCF**:
- Since the remainder is now 0, the divisor at this step (which is 70) is the HCF.
- Therefore, HCF of 140 and 210 is **70**.

### Final Answer:
The HCF of 140 and 210 is **70**.

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