HCF of 24 and 45
Understand the Problem
The question is asking for the highest common factor (HCF) of the numbers 24 and 45. To solve this, we will find the factors of each number and identify the highest one that is common to both.
Answer
$3$
Answer for screen readers
The highest common factor (HCF) of 24 and 45 is $3$.
Steps to Solve
- List the factors of the first number (24)
To find the factors of 24, we look for all numbers that divide 24 evenly.
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
- List the factors of the second number (45)
Next, we find the factors of 45 by doing the same.
The factors of 45 are: 1, 3, 5, 9, 15, 45
- Identify the common factors
Now, we need to find the factors that both numbers share.
The common factors of 24 and 45 are: 1, 3
- Determine the highest common factor
Among the common factors, we identify the highest one.
Thus, the highest common factor (HCF) is: 3
The highest common factor (HCF) of 24 and 45 is $3$.
More Information
The HCF is useful in simplifying fractions and understanding the relationship between numbers. It helps to find ways to combine or share resources evenly.
Tips
- Incorrectly identifying factors: Make sure to check each number up to the number itself when listing factors.
- Missing common factors: Double-check the common factors to ensure no common numbers are overlooked.
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