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.
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See sample questions for grade 8
Explain how to find the LCM of two numbers using their prime factors.
Explain the difference between the greatest common factor and the least common multiple.
Find the GCF and LCM of 21 and 28.
Find the GCF of 32 and 56.
Find the GCF of 48, 60, and 72.
Find the GCF of 84 and 126 using prime factorization.
A factory produces two types of widgets. Machine A completes a cycle every 18 minutes, and Machine B completes a cycle every 24 minutes. If both machines start a cycle at 8:00 AM, at what time will they next start a cycle together?
A school is planning two events. One event repeats every 45 days, and the other every 60 days. If both events occur today, after how many days will both events occur on the same day again?
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 a common factor of 24 and 36?
(1) 4
(2) 6
(3) 12
(4) All of the above
Which of the following is NOT a common multiple of 3 and 4?
(1) 12
(2) 24
(3) 18
(4) 36
Which of the following is the GCF of 30 and 45?
(1) 5
(2) 10
(3) 15
(4) 20
The GCF of 100 and 250 is _______.
The GCF of 14 and 49 is _______.
The GCF of 18, 27, and 45 is _______.
The GCF of 27 and 45 is _______.
True or False: The GCF of any number and 1 is always 1.
True or False: The GCF of two even numbers is always even.
True or False: The GCF of two numbers is always less than or equal to the smaller number.
True or False: The LCM of two numbers can be equal to one of the numbers.
