Find the two largest numbers of four digits having 531 as their HCF:

Options

A. 9231, 9762
B. 9027, 9558
C. 9037,9568
D. 9127,9658

Answer

To find the two largest four-digit numbers that have 531 as their HCF, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the largest four-digit number**:
The largest four-digit number is 9999.

2. **Divide the largest four-digit number by 531**:
We need to find out how many times 531 fits into 9999.
\[ 9999 \div 531 \approx 18.8 \]
So, we take the integer part, which is 18.

3. **Calculate the largest multiple of 531 within four digits**:
Now, we multiply 531 by 18 to find the largest multiple of 531 that is still a four-digit number.
\[ 531 \times 18 = 9558 \]

4. **Find the second largest multiple of 531**:
To find the second largest number, we subtract 531 from 9558.
\[ 9558 - 531 = 9027 \]

5. **Conclusion**:
The two largest four-digit numbers that have 531 as their HCF are **9558** and **9027**.

### Final Answer:
The two largest four-digit numbers having 531 as their HCF are **9558** and **9027**.

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