The formula to calculate the Highest Common Factor (HCF) is:
\[ \text{HCF}(X, Y) = \frac{P(X \times Y)}{\text{LCM}(X, Y)} \]
Where:
The Highest Common Factor of Two Numbers is the common highest positive integer which divides both numbers.
The Product of Two Numbers is the result of the multiplication of two numbers.
The Least Common Multiple of Two Numbers is the least positive integer other than zero that is divisible by both numbers.
Let's assume the following values:
Using the formula:
\[ \text{HCF}(X, Y) = \frac{P(X \times Y)}{\text{LCM}(X, Y)} \]
Evaluating:
\[ \text{HCF}(X, Y) = \frac{45}{9} \]
The HCF is 5.
| Product of Two Numbers | LCM of Two Numbers | HCF |
|---|---|---|
| 20 | 2 | 10.0000 |
| 20 | 4 | 5.0000 |
| 20 | 6 | 3.3333 |
| 20 | 8 | 2.5000 |
| 20 | 10 | 2.0000 |
| 40 | 2 | 20.0000 |
| 40 | 4 | 10.0000 |
| 40 | 6 | 6.6667 |
| 40 | 8 | 5.0000 |
| 40 | 10 | 4.0000 |
| 60 | 2 | 30.0000 |
| 60 | 4 | 15.0000 |
| 60 | 6 | 10.0000 |
| 60 | 8 | 7.5000 |
| 60 | 10 | 6.0000 |
| 80 | 2 | 40.0000 |
| 80 | 4 | 20.0000 |
| 80 | 6 | 13.3333 |
| 80 | 8 | 10.0000 |
| 80 | 10 | 8.0000 |
| 100 | 2 | 50.0000 |
| 100 | 4 | 25.0000 |
| 100 | 6 | 16.6667 |
| 100 | 8 | 12.5000 |
| 100 | 10 | 10.0000 |