GCF/GCD

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest positive integer that divides each of the given integers without leaving a remainder.

Front

Find the GCD of 10 and 50.

Back

10

Front

Find the GCD of 6a and 12.

Back

6

Tags

CCSS.7.EE.A.1

Front

Find the GCD of 4x and 8.

Back

4

Front

Find the GCD of 12 and 32.

Back

4

Front

Find the GCD of 16 and 30.

Back

2

Front

What is the GCD of two prime numbers?

Back

The GCD of two prime numbers is always 1, since they have no common factors other than 1.

Front

How do you find the GCD 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

What is the relationship between GCD and LCM (Least Common Multiple)?

Back

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

Front

Find the GCD of 18 and 24 using the listing method.

Back

6 (Factors of 18: 1, 2, 3, 6, 9, 18; Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24; Common factors: 1, 2, 3, 6)