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 7
A teacher wants to arrange 24 red pens and 36 blue pens in equal groups with no pens left over. What is the greatest number of pens that can be in each group?
Explain the difference between GCF and LCM.
Find the GCF of 100 and 250.
Find the GCF of 36, 60, and 84.
A teacher wants to arrange 24 red pens and 36 blue pens in equal groups with no pens left over. What is the greatest number of pens that can be in each group?
Three bells ring at intervals of 4, 6, and 8 minutes. If they ring together at 8:00 am, at what time will they next ring together?
A baker has 90 chocolate cookies and 126 vanilla cookies. She wants to pack them into boxes so that each box has the same number of each type of cookie, with no cookies left over. What is the largest number of boxes she can make?
A school is planning to distribute 120 pencils and 144 erasers equally among students, with each student receiving the same number of pencils and erasers. What is the greatest number of students that can receive the supplies equally?
Which method can be used to find the GCF of two numbers?
(1) Prime factorization
(2) Division method
(3) Listing factors
(4) All of the above
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 30 and 45?
(1) 5
(2) 10
(3) 15
(4) 20
Which of the following is the GCF of 81 and 54?
(1) 9
(2) 18
(3) 27
(4) 36
The GCF of 14 and 49 is _______.
The GCF of 27 and 36 is _______.
The GCF of 32 and 48 is _______.
The LCM of 11 and 13 is _______.
If two numbers are both even, can their GCF be odd?
True or False: The GCF of a number and 1 is always 1.
True or False: The GCF of two numbers is always a factor of their LCM.
True or False: The GCF of two numbers is always less than or equal to the smaller number.
