GCF and LCM

Front

What does GCF stand for and what does it represent?

Back

GCF stands for Greatest Common Factor. It represents the largest positive integer that divides each of the given integers without leaving a remainder.

Front

What does LCM stand for and what does it represent?

Back

LCM stands for Least Common Multiple. It represents the smallest positive integer that is a multiple of each of the given integers.

Front

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

Back

To find the GCF using prime factorization, first factor both numbers into their prime factors. Then, identify the common prime factors and multiply them together to get the GCF.

Front

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

Back

To find the LCM using prime factorization, factor both numbers into their prime factors. Then, take the highest power of each prime factor that appears in either factorization and multiply them together to get the LCM.

Front

What is the GCF of 18 and 24?

Back

The GCF of 18 and 24 is 6.

Front

What is the LCM of 4 and 5?

Back

The LCM of 4 and 5 is 20.

Front

If two numbers are 12 and 30, what is their GCF?

Back

The GCF of 12 and 30 is 6.

Front

If two numbers are 8 and 12, what is their LCM?

Back

The LCM of 8 and 12 is 24.

Front

What is the relationship between GCF and LCM of two numbers?

Back

The relationship is given by the formula: GCF(a, b) × LCM(a, b) = a × b, where a and b are the two numbers.

Front

How can you use the GCF to simplify fractions?

Back

To simplify a fraction, divide both the numerator and the denominator by their GCF.