Greatest Common Factor Concepts

The video tutorial introduces the concept of the Greatest Common Factor (GCF) and its application in reducing fractions. It explains how to find factors of numbers, specifically 12 and 18, and identifies common factors. The tutorial demonstrates how to use the GCF to simplify fractions efficiently, highlighting the benefits of using the largest common factor to minimize steps. A two-step problem is also solved to reinforce the concept.

What is the primary purpose of learning about the Greatest Common Factor?

• To multiply large numbers

• To reduce fractions efficiently

• To find the sum of numbers

• To add fractions easily

Which of the following best describes a factor?

• A number that divides another number without leaving a remainder

• The result of adding two numbers

• A number that is always even

• The result of subtracting two numbers

Which of the following is NOT a factor of 12?

• 6

• 3

• 5

• 4

What is the greatest factor of 18?

• 9

• 18

• 6

• 3

Which numbers are common factors of both 12 and 18?

• 1, 2, 3, 6

• 1, 3, 5, 7

• 2, 4, 6, 8

• 3, 6, 9, 12

How does knowing the greatest common factor help in simplifying fractions?

• It allows for multiple steps in simplification

• It reduces the fraction in one step

• It makes the fraction larger

• It changes the fraction to a decimal

What is the result of simplifying the fraction 12/18 using the greatest common factor?

• 5/6

• 3/4

• 2/3

• 1/2

Why might someone choose to use smaller factors instead of the greatest common factor?

• To take more steps in simplification

• To make the process longer

• To avoid using multiplication

• To practice division

What is the greatest common factor of 8 and 20?

• 6

• 8

• 4

• 2