GCF of 18, 36, and 45
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 18, 36, and 45. To solve this, we will find the factors of each number and identify the largest factor that is common to all three numbers.
Answer
The GCF of 18, 36, and 45 is 9.
Answer for screen readers
The greatest common factor (GCF) of 18, 36, and 45 is 9.
Steps to Solve
- List the factors of each number
First, we will find the factors of each number.
- Factors of 18: 1, 2, 3, 6, 9, 18
- Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
- Factors of 45: 1, 3, 5, 9, 15, 45
- Identify common factors
Next, we identify the factors that are common among the three sets.
- Common factors of 18, 36, and 45: 1, 3, 9
- Determine the greatest common factor
Finally, we select the largest factor from the common factors found.
The greatest common factor is 9.
The greatest common factor (GCF) of 18, 36, and 45 is 9.
More Information
The greatest common factor is useful in simplifying fractions and can also help in solving problems related to ratios. Understanding GCF can also help with finding least common multiples (LCMs), since LCM and GCF are interconnected concepts in number theory.
Tips
- A common mistake is to overlook all factors when identifying common ones. To avoid this, it's helpful to systematically list out factors for each number to see them clearly.
- Another mistake is misidentifying the largest common factor after identifying the common factors. Double-check by comparing their values.
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