Finding GCF and LCM with Venn Diagrams

This video tutorial explains how to find common factors and multiples using prime factorization and Venn diagrams. It reviews the concepts of greatest common factor (GCF) and least common multiple (LCM), and demonstrates these concepts with examples using the numbers 36, 48, 120, and 210. The tutorial guides viewers through the process of placing prime factors in a Venn diagram to identify common and unique factors, and then using these to calculate the GCF and LCM. Viewers are encouraged to practice these techniques with provided examples.

What is the greatest common factor (GCF)?

• The difference between two numbers.

• The sum of two or more numbers.

• The largest number that divides two or more numbers without a remainder.

• The smallest number that is a multiple of two or more numbers.

What is the least common multiple (LCM)?

• The smallest number that is a multiple of two or more numbers.

• The largest number that divides two or more numbers without a remainder.

• The difference between two numbers.

• The sum of two or more numbers.

What is a Venn diagram used for?

• To show the sum of two numbers.

• To display the common and different elements between two sets.

• To find the difference between two numbers.

• To calculate the product of two numbers.

In the example with 36 and 48, what is the greatest common factor (GCF)?

• 24

• 12

• 8

• 6

In the example with 36 and 48, what is the least common multiple (LCM)?

• 72

• 96

• 144

• 192

What is the first step in using a Venn diagram to find common factors?

• Add all the numbers together.

• Find the common factors in both lists.

• Subtract the smaller number from the larger number.

• Multiply all the numbers together.

For the numbers 120 and 210, what is the greatest common factor (GCF)?

• 30

• 40

• 20

• 10

Which number is placed only in the 210 section of the Venn diagram for 120 and 210?

• 2

• 3

• 7

• 5

For the numbers 120 and 210, what is the least common multiple (LCM)?

• 1050

• 840

• 420

• 630

What is the final step in finding the least common multiple (LCM) using a Venn diagram?

• Add all the numbers in the Venn diagram.

• Subtract the numbers in the Venn diagram.

• Divide the numbers in the Venn diagram.

• Multiply all the numbers in the Venn diagram.