GCF/LCM

Front

What does GCF stand for in mathematics?

Back

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

Front

What does LCM stand for in mathematics?

Back

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

Front

How do you find the GCF of two numbers?

Back

To find the GCF of two numbers, you can list the factors of each number and identify the largest factor they have in common, or use the prime factorization method.

Front

How do you find the LCM of two numbers?

Back

To find the LCM of two numbers, you can list the multiples of each number and identify the smallest multiple they have in common, or use the prime factorization method.

Front

What is the relationship between GCF and LCM?

Back

The relationship between GCF and LCM can be expressed with the formula: GCF(a, b) × LCM(a, b) = a × b for any two integers a and b.

Front

What is the GCF of 12 and 16?

Back

The GCF of 12 and 16 is 4.

Front

What is the LCM of 12 and 16?

Back

The LCM of 12 and 16 is 48.

Front

If two numbers are 30 and 45, what is their GCF?

Back

The GCF of 30 and 45 is 15.

Front

If two numbers are 30 and 45, what is their LCM?

Back

The LCM of 30 and 45 is 90.

Front

How can you use prime factorization to find the GCF?

Back

To use prime factorization to find the GCF, factor both numbers into their prime factors, then multiply the lowest powers of all common prime factors.