GCF & LCM

Front

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

Back

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

Front

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

Back

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

Front

Find the LCM of 3 and 5.

Back

15

Front

Find the LCM of 5, 10, and 15.

Back

30

Front

Find the GCF of 12 and 30.

Back

6

Front

Find the GCF of 14, 56, and 63.

Back

7

Front

Find the GCF of 50 and 40.

Back

10

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.

Front

How do you find the GCF of two numbers using prime factorization?

Back

1. Factor both numbers into primes. 2. Identify the common prime factors. 3. Multiply the lowest powers of these common factors.

Front

How do you find the LCM of two numbers using prime factorization?

Back

1. Factor both numbers into primes. 2. Identify all prime factors, using the highest power of each. 3. Multiply these together.