Finding GCF and LCM Concepts

The video tutorial explains the concepts of the least common multiple (LCM) and the greatest common factor (GCF). It begins with an introduction to factors, using examples to illustrate how numbers can be broken down into factors. The tutorial then demonstrates two methods for finding the GCF of numbers, including a method that also simplifies fractions. The video transitions to explaining the LCM, showing how to find it through listing multiples and using the GCF. The tutorial concludes with examples that reinforce these methods, providing a comprehensive understanding of how to calculate and apply LCM and GCF in mathematical problems.

What does LCM stand for?

• Least Common Multiple

• Largest Common Multiple

• Least Common Measure

• Largest Common Measure

What is a factor?

• A number that can be divided by another number

• A number that divides another number without leaving a remainder

• A number that is a multiple of another number

• A number that is greater than another number

Which of the following is a factor of 10?

• 4

• 7

• 3

• 5

What is the greatest common factor of 10 and 25?

• 10

• 5

• 2

• 1

How can you find the GCF of two numbers using factor pairs?

• By adding the numbers

• By listing all factors and finding the largest common one

• By subtracting the smaller number from the larger one

• By multiplying the numbers

What is the GCF of 24 and 36 using factor pairs?

• 8

• 6

• 12

• 10

What is the first step in the alternative method for finding the GCF?

• Multiply the numbers

• Draw an upside-down division symbol

• Subtract the numbers

• List all factors

In the alternative method, what do you do after dividing the numbers by a common factor?

• Add the results

• Subtract the results

• Check for more common factors

• Multiply the results

What is the GCF of 24 and 36 using the alternative method?

• 6

• 8

• 12

• 10

How can the GCF be used to simplify fractions?

• By adding the numerator and denominator

• By multiplying the numerator and denominator

• By subtracting the GCF from both

• By dividing both by the GCF