If the product of two numbers is 4941 and their LCM is 81, then their HCF is :

Options

A. 60
B. 59
C. 35
D. 61

Answer

To find the HCF (Highest Common Factor) of two numbers given their product and LCM (Least Common Multiple), we can use the relationship:

\[ \text{Product of two numbers} = \text{LCM} \times \text{HCF} \]

Given:
- Product of the two numbers (A and B) = 4941
- LCM of the two numbers = 81

We need to find the HCF.

### Step 1: Use the formula to express HCF
Using the formula mentioned above, we can express HCF as:

\[ \text{HCF} = \frac{\text{Product of A and B}}{\text{LCM}} \]

### Step 2: Substitute the known values
Now, substitute the known values into the formula:

\[ \text{HCF} = \frac{4941}{81} \]

### Step 3: Perform the division
Now, we need to perform the division:

1. Calculate \( 4941 \div 81 \).
2. To simplify, we can perform the long division or use a calculator.

Performing the division:

- \( 81 \) goes into \( 4941 \) approximately \( 61 \) times (since \( 81 \times 61 = 4941 \)).

### Step 4: Conclusion
Thus, we find that:

\[ \text{HCF} = 61 \]

### Final Answer
The HCF of the two numbers is **61**.

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