Least Common Factors and Greatest Common Factors

Greatest Common Factor and Least Common Multiple

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Objectives

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• Determine the Greatest Common Factor (GCF) of two or more numbers.

• Determine the Least Common Multiple (LCM) of two or more numbers.

• Solve real-life problems involving GCF and LCM.

Multiple Choice

A ______ is a quantity that divides another quantity evenly.

• Factor

• Multiple

• Greatest Common Factor

• Least Common Multiple

Multiple Choice

A ______ is a product obtained by multiplying a number by a natural number.

• Factor

• Multiple

• Greatest Common Factor

• Least Common Multiple

Greatest Common Factor

The greatest common factor (GCF) of two or more numbers is the largest number that divides the given numbers evenly.

What is the GCF of 12 and 16?

Solution:

​12: (on a piece of paper, or in your head if you can, list all the factors of 12 in order, starting with 1, making sure each factor can fit inside of 12 evenly with no remainders)

16: ​ (do the same thing with the number 16)

GCF: look for the largest factor they have in common. That is the GCF!​

What is the GCF of 24 and 36?

Solution:

What is the GCF of 48, 60, and 96?

Solution:

Least Common Multiple

The least common multiple (LCM) of two or more numbers is the smallest natural number that is a multiple of the given numbers.

What is the LCM of 14 and 21?

Solution:

What is the LCM of 6 and 15?

Solution:

What is the LCM of 3, 8, and 9?

Solution:

Open Ended

In your own words, describe what you learned or what may have confused you. If you were confused, please be specific about what was hard for you to understand.