GCF and LCM Concepts

The video tutorial by Education Galaxy covers the concepts of greatest common factor (GCF) and least common multiple (LCM). It begins with definitions and explains how to find GCF and LCM using prime factorization. The tutorial provides examples, such as finding the GCF of 18 and 60, and the LCM of the same numbers. It also discusses real-world applications of these concepts, like determining when events will coincide or how to divide items into equal parts. The video concludes with example problems to reinforce understanding.

What does GCF stand for?

• Greatest Common Factor

• Greatest Common Fraction

• Greatest Common Formula

• Greatest Common Function

What is the definition of the Least Common Multiple?

• The largest positive number that is a multiple of both numbers

• The smallest number that is a factor of both numbers

• The smallest positive number that is a multiple of both numbers

• The largest number that is a factor of both numbers

What is the first step in finding the GCF or LCM?

• Add the numbers

• Multiply the numbers

• Subtract the numbers

• Create a factor tree

What is the prime factorization of 18?

• 1 x 18

• 3 x 6

• 2 x 9

• 2 x 3 x 3

What is the prime factorization of 60?

• 2 x 3 x 10

• 2 x 2 x 3 x 5

• 3 x 5 x 4

• 2 x 5 x 6

What is the GCF of 18 and 60?

• 9

• 3

• 6

• 12

What is the LCM of 18 and 60?

• 240

• 180

• 90

• 120

Which method can be used to find the GCF and LCM besides prime factorization?

• Dividing the numbers

• Subtracting the numbers

• Adding the numbers

• Listing factors and multiples

In which scenario would you use the GCF?

• To calculate the average of two numbers

• To find when two events will happen at the same time

• To split items into the largest equal groups

• To find the smallest common multiple

In which scenario would you use the LCM?

• To split items into smaller groups

• To determine when two events will coincide

• To find the greatest number

• To find the largest common factor