GCF/LCM

Front

What is the definition of the Greatest Common Factor (GCF)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor that appears in both lists.

Front

What is the definition of the Least Common Multiple (LCM)?

Back

The LCM of two or more numbers is the smallest number that is a multiple of all of them.

Front

How do you find the LCM of two numbers?

Back

To find the LCM, list the multiples of each number and identify the smallest multiple that appears in both lists.

Front

What is the relationship between GCF and LCM?

Back

The product of the GCF and LCM of two numbers is equal to the product of the numbers themselves.

Front

What is an example of finding the GCF of 24 and 36?

Back

The GCF of 24 and 36 is 12, as it is the largest number that divides both without a remainder.

Front

What is an example of finding the LCM of 4 and 5?

Back

The LCM of 4 and 5 is 20, as it is the smallest multiple that both numbers share.

Front

How can prime factorization be used to find the GCF?

Back

To find the GCF using prime factorization, break each number down into its prime factors and multiply the lowest powers of common prime factors.

Front

How can prime factorization be used to find the LCM?

Back

To find the LCM using prime factorization, break each number down into its prime factors and multiply the highest powers of all prime factors present.

Front

What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, even though the numerator and denominator are different.

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