The product of two numbers is 720. If their Least Common Multiple is 360, then what will be the Highest common Factor of these two numbers?

Options

A. 60
B. 20
C. 120
D. 2

Answer

To find the Highest Common Factor (HCF) of two numbers when their product and Least Common Multiple (LCM) are given, we can use the relationship between these three quantities. The formula we will use is:

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

Given:
- Product of two numbers = 720
- LCM = 360

We need to find the HCF.

### Step-by-step Solution:

1. **Write down the formula**:
\[ \text{Product} = \text{HCF} \times \text{LCM} \]

2. **Substitute the known values into the formula**:
\[ 720 = \text{HCF} \times 360 \]

3. **Rearrange the equation to solve for HCF**:
\[ \text{HCF} = \frac{720}{360} \]

4. **Calculate the HCF**:
\[ \text{HCF} = 2 \]

Thus, the Highest Common Factor (HCF) of the two numbers is **2**.