Greatest Common Factor and Least Common Multiple

Greatest Common Factor and Least Common Multiple

Objectives

• Perform complete factorization of composite numbers.

• 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

These are natural numbers with at least three natural number divisors.

• Composite Numbers

• Prime Numbers

• Even Numbers

• Odd Numbers

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

Multiple Choice

It is a process of expressing a composite number as a product of its prime factors.

• Factoring

• Multiplying

• Prime Factorization

• Tree Diagram

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:

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

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