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Questions and Answers
What is the Greatest Common Factor (GCF) of 18 and 24?
What is the Greatest Common Factor (GCF) of 18 and 24?
What is the smallest number that is a multiple of 3 and 5?
What is the smallest number that is a multiple of 3 and 5?
What is the term often confused with the Least Common Multiple (LCM)?
What is the term often confused with the Least Common Multiple (LCM)?
How do you find the GCF of two numbers?
How do you find the GCF of two numbers?
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What is the LCM of 8 and 10?
What is the LCM of 8 and 10?
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What is the GCF of 20 and 25?
What is the GCF of 20 and 25?
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Study Notes
Common Factors
Greatest Common Factor (GCF)
- The GCF is the largest number that divides two or more numbers exactly without leaving a remainder.
- It is also known as the Highest Common Factor (HCF).
- To find the GCF, list the factors of each number and identify the common factors.
- The GCF is the largest of these common factors.
Example: Find the GCF of 12 and 15. Factors of 12: 1, 2, 3, 4, 6, 12 Factors of 15: 1, 3, 5, 15 Common factors: 1, 3 GCF: 3
Least Common Factor (LCF)
- Note: There is no such thing as the Least Common Factor (LCF). The term "Least Common Factor" is often confused with the Least Common Multiple (LCM).
- The LCM is the smallest number that is a multiple of two or more numbers.
- To find the LCM, list the multiples of each number and identify the first common multiple.
- The LCM is the smallest of these common multiples.
Example: Find the LCM of 4 and 6. Multiples of 4: 4, 8, 12, 16, 20, ... Multiples of 6: 6, 12, 18, 24, 30, ... First common multiple: 12 LCM: 12
Greatest Common Factor (GCF)
- The GCF is the largest number that divides two or more numbers exactly without leaving a remainder.
- It is also known as the Highest Common Factor (HCF).
- To find the GCF, list the factors of each number and identify the common factors.
- The GCF is the largest of these common factors.
Finding the GCF
- List the factors of each number.
- Identify the common factors.
- The largest of these common factors is the GCF.
Example of Finding the GCF
- Find the GCF of 12 and 15.
- Factors of 12: 1, 2, 3, 4, 6, 12.
- Factors of 15: 1, 3, 5, 15.
- Common factors: 1, 3.
- GCF: 3.
Least Common Factor (LCF)
- There is no such thing as the Least Common Factor (LCF).
- The term "Least Common Factor" is often confused with the Least Common Multiple (LCM).
Least Common Multiple (LCM)
- The LCM is the smallest number that is a multiple of two or more numbers.
- To find the LCM, list the multiples of each number and identify the first common multiple.
- The LCM is the smallest of these common multiples.
Finding the LCM
- List the multiples of each number.
- Identify the first common multiple.
- The smallest of these common multiples is the LCM.
Example of Finding the LCM
- Find the LCM of 4 and 6.
- Multiples of 4: 4, 8, 12, 16, 20,...
- Multiples of 6: 6, 12, 18, 24, 30,...
- First common multiple: 12.
- LCM: 12.
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Description
Learn about the concepts of Greatest Common Factor (GCF) and Least Common Multiple (LCM) with examples and explanations. Understand how to find the GCF and LCM of given numbers.
