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 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.
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?
Which of the following is a correct method to find the LCM of two numbers?
(1) Multiply the numbers and divide by their GCF
(2) Add the numbers and divide by their GCF
(3) Subtract the smaller from the larger
(4) Multiply the numbers and divide by their sum
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 the GCF of 45, 60, and 75?
(1) 5
(2) 10
(3) 15
(4) 30
Which of the following is the LCM of 9 and 12?
(1) 18
(2) 24
(3) 36
(4) 48
Fill in the blank: The GCF of any number and 0 is _______.
Fill in the blank: The LCM of any number and 1 is _______.
Fill in the blank: The LCM of two numbers is always _______ than or equal to the larger number.
The GCF of 120 and 168 is _______.
True or False: The GCF of two even numbers is always even.
True or False: The GCF of two numbers can never be greater than either of the numbers.
True or False: The LCM of two numbers is always a multiple of their GCF.
True or False: The LCM of two prime numbers is always their product.
