Understanding GCD with Desmos

This video tutorial demonstrates how to use Desmos.com to find the greatest common factor (GCD) of given numbers. It explains the concept of GCD and shows step-by-step instructions for using Desmos to calculate the GCD of different sets of numbers: 12 and 18, 36, 54, and 90, and 1228, 888, and 5040. The tutorial emphasizes the importance of entering numbers correctly in Desmos to avoid errors and concludes with a review of the results.

What is the greatest common factor (GCF) of two or more integers?

• The product of the integers

• The sum of the integers

• The largest positive integer that divides each given integer

• The smallest positive integer that divides each given integer

Which function does Desmos use to find the greatest common divisor?

• lcm

• gcf

• div

• gcd

What is the GCF of 12 and 18 as found using Desmos?

• 4

• 6

• 10

• 8

Which of the following steps is NOT necessary when using Desmos to find the GCF?

• Closing the parenthesis manually

• Entering numbers with commas

• Clicking on the graphing calculator

• Using the gcd function

What is the GCF of 36, 54, and 90?

• 30

• 24

• 18

• 12

When entering numbers in Desmos, why is it important to avoid commas in large numbers?

• It will change the result

• It will cause an error

• It will slow down the calculation

• Desmos will interpret them as separate numbers

What is the GCF of 1228, 888, and 5040?

• 5

• 3

• 2

• 4

Which number is the largest positive integer that divides both 12 and 18?

• 6

• 5

• 4

• 3

What is the largest positive integer that divides 36, 54, and 90?

• 12

• 15

• 18

• 21

Which number is the largest positive integer that divides 1228, 888, and 5040?

• 4

• 5

• 3

• 2