Finding the GCF and Euclidean Algorithm

The video tutorial covers the final lesson in module two, focusing on the Euclidean algorithm as an application of the long division algorithm to find the greatest common factor (GCF) of two numbers. The teacher reviews previous strategies for finding the GCF, such as listing factors and using prime factorization, and introduces the Euclidean algorithm, which is more efficient for larger numbers. The lesson includes a step-by-step explanation of the algorithm and practice problems to reinforce learning.

What is the main focus of the final lesson in module two?

• Solving word problems

• Introducing a new algorithm

• Reviewing the entire module

• Discussing the test format

Which method is NOT mentioned as a way to find the GCF?

• Using prime factorization

• Listing all factors

• Using the Euclidean Algorithm

• Using a calculator

Who is credited with the discovery of the Euclidean Algorithm?

• Aristotle

• Euclid

• Archimedes

• Pythagoras

What is the first step in the Euclidean Algorithm?

• Multiply the two numbers

• Subtract the smaller number from the larger

• Add the two numbers

• Divide the larger number by the smaller

In the Euclidean Algorithm, what do you do if there is a remainder?

• Multiply the remainder by the divisor

• Stop the process

• Use the remainder as the new divisor

• Add the remainder to the dividend

What is the GCF of 30 and 50 using the Euclidean Algorithm?

• 5

• 20

• 10

• 15

How many steps were needed to find the GCF of 30 and 45?

• Two

• Four

• One

• Three

What is the GCF of 96 and 144?

• 24

• 48

• 12

• 96

What is the GCF of 660 and 840?

• 60

• 30

• 40

• 50

Why is it important to be neat and organized when using the Euclidean Algorithm?

• To save time

• To impress the teacher

• To avoid mistakes

• To use less paper