Understanding the Greatest Common Divisor (GCD)

The video tutorial explains the concept of the greatest common divisor (DCM) and demonstrates how to calculate it using prime factorization. It provides examples with two and three numbers, highlighting the process of selecting common factors with the smallest exponents. The tutorial concludes with a simple example and offers contact information for further questions.

What is the first step in finding the GCD of two numbers?

• Decompose the numbers into their prime factors

• Subtract the smaller number from the larger

• Multiply the numbers

• Add the numbers together

When finding the GCD, which exponents of the common factors should be used?

• The largest exponents

• The sum of the exponents

• The average of the exponents

• The smallest exponents

In the example of finding the GCD of 180 and 200, which numbers were identified as common factors?

• 2 and 5

• 3 and 5

• 2 and 3

• 2, 3, and 5

What is the GCD of 180 and 200?

• 40

• 20

• 30

• 10

Which numbers were used to find the GCD of 48, 96, and 144?

• 2 and 3

• 2, 3, and 4

• 3 and 5

• 2, 3, and 5

What is the GCD of 48, 96, and 144?

• 12

• 24

• 48

• 36

In the example of 16 and 24, which factor was common?

• 2

• 5

• 3

• 4

What is the GCD of 16 and 24?

• 6

• 8

• 4

• 10

What should you do if you have questions after watching the video?

• Search online for answers

• Contact the teacher via Classroom

• Ask a friend

• Rewatch the video

What is the main difference between finding the GCD and the LCM?

• GCD uses the largest exponents, LCM uses the smallest

• GCD uses the smallest exponents, LCM uses the largest

• GCD uses addition, LCM uses multiplication

• GCD uses subtraction, LCM uses division