GCF and LCM

Front

What does GCF stand for and what does it represent?

Back

GCF stands for Greatest Common Factor. It represents the largest positive integer that divides each of the given integers without leaving a remainder.

Front

What does LCM stand for and what does it represent?

Back

LCM stands for Least Common Multiple. It represents the smallest positive integer that is a multiple of each of the given integers.

Front

How do you find the GCF of two or more numbers?

Back

To find the GCF, list the factors of each number, identify the common factors, and select the largest one.

Front

How do you find the LCM of two or more numbers?

Back

To find the LCM, list the multiples of each number, identify the common multiples, and select the smallest one.

Front

What is the relationship between GCF and LCM for two numbers?

Back

The product of the GCF and LCM of two numbers is equal to the product of the two numbers.

Front

What is an example of finding the GCF of 12 and 16?

Back

The GCF of 12 and 16 is 4, as the factors of 12 are 1, 2, 3, 4, 6, 12 and the factors of 16 are 1, 2, 4, 8, 16.

Front

What is an example of finding the LCM of 4 and 5?

Back

The LCM of 4 and 5 is 20, as the multiples of 4 are 4, 8, 12, 16, 20 and the multiples of 5 are 5, 10, 15, 20.

Front

In the context of the first question, how do you determine how many boxes Vince can make?

Back

To determine how many boxes Vince can make, find the GCF of the number of jars of each type of jam (12, 16, 24), which is 4. He can make 4 boxes.

Front

In the context of the second question, how do you determine the number of students in each team?

Back

To determine the number of students in each team, find the GCF of the number of blue shirts (16) and red shirts (12), which is 4. Each team can have 4 blue and 3 red shirts.

Front

How do you apply GCF to create gift baskets with equal items?

Back

To create gift baskets with equal items, find the GCF of the quantities of each item. For Carolyn, the GCF of 24, 36, and 60 is 12, so she can make 12 baskets.