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 11

A bus arrives at a station every 20 minutes, and a train arrives every 30 minutes. If both arrive at 8:00 AM, at what time will they next arrive together?

A teacher wants to divide 72 pencils and 108 erasers into identical sets with no items left over. What is the greatest number of sets possible?

Describe the prime factorization method for finding the GCF of two numbers.

Explain the relationship between the product of the GCF and LCM of two numbers and the product of the numbers themselves.

Explain why the GCF of two consecutive integers is always 1.

Explain why the LCM of two numbers is always a multiple of each number.

Find the GCF and LCM of 48 and 180.

Find the GCF and LCM of 56 and 98.

Find the GCF of 210 and 385 using the Euclidean algorithm.

Find the greatest common factor (GCF) of 84 and 126.

Find the LCM of 15, 20, and 30.

Find the LCM of 24, 36, and 54.

Given the numbers 36 and 60, list all their common factors.

If the GCF of two numbers is 1, what are these numbers called?

If the GCF of two numbers is 8 and their LCM is 96, what could be the two numbers?

If the LCM of two numbers is 120 and their GCF is 4, and one of the numbers is 20, what is the other number?

If the LCM of two numbers is 180 and their GCF is 6, and one of the numbers is 30, what is the other number?