Greatest Common Factor and Least Common Multiple

Math ⇒ Number and Operations

Greatest Common Factor and Least Common Multiple starts at 6 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Greatest Common Factor and Least Common Multiple. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 10

Explain how to find the GCF of three numbers using prime factorization.

Explain the difference between GCF and LCM.

Explain why the GCF of any number and 1 is always 1.

Find the GCF of 120 and 144.

Find the GCF of 56, 84, and 98.

Find the GCF of 81 and 54.

Find the LCM of 15, 20, and 30.

Find the LCM of 25 and 30.

Find the LCM of 7, 14, and 21.

Find the LCM of 9, 12, and 15.

Find the least common multiple (LCM) of 8 and 12.

If the GCF of two numbers is 3 and their LCM is 60, what is the product of the two numbers?

If the GCF of two numbers is 4 and their LCM is 60, what is the product of the two numbers?

If the GCF of two numbers is 8 and their LCM is 120, what is the product of the two numbers?

If the GCF of two numbers is 9 and their LCM is 180, what is the product of the two numbers?

If the LCM of two numbers is 120 and one of the numbers is 24, what is the smallest possible value of the other number?

If the LCM of two numbers is 42 and one of the numbers is 14, what is the other number?

If the LCM of two numbers is 84 and their GCF is 7, what could the numbers be?

If two numbers are coprime, what is their GCF?

What is the greatest common factor (GCF) of 36 and 60?