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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 9
Explain how to find the LCM of two numbers using their prime factors.
Explain the difference between GCF and LCM.
Explain why the GCF of any number and 1 is always 1.
Find the GCF and LCM of 14 and 49.
Find the GCF and LCM of 16 and 20.
Find the GCF of 120 and 144.
Find the GCF of 42, 56, and 70.
Find the GCF of 81 and 135.
Which method can be used to find the GCF of two numbers? (1) Prime factorization (2) Division method (3) Listing all factors (4) All of the above
Which of the following is NOT a common multiple of 4 and 6? (1) 12 (2) 18 (3) 24 (4) 36
Which of the following is NOT a method to find the LCM? (1) Prime factorization (2) Listing multiples (3) Subtraction method (4) Division method
Which of the following is the GCF of 100 and 250? (1) 10 (2) 25 (3) 50 (4) 100
The GCF of 13 and 39 is _______.
The GCF of 32 and 48 is _______.
The GCF of 45 and 75 is _______.
The LCM of 15 and 20 is _______.
If two numbers are both even, is their GCF always even?
If two numbers are both multiples of 6, is their GCF always 6?
The LCM of two numbers is always greater than or equal to the larger number. True or False?
True or False: The GCF of two numbers can never be greater than their LCM.