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WorksheetsMastering GCF and LCM
Total questions: 10
Worksheet time: 5mins
What is the GCF of 24 and 36?
18
24
12
6
Find the LCM of 8 and 12.
30
16
24
20
Using prime factorization, what is the GCF of 18 and 30?
6
3
9
15
Calculate the LCM of 5, 10, and 15.
15
30
25
35
Explain the relationship between GCF and LCM.
The GCF and LCM of two numbers are related by the formula: GCF(a, b) * LCM(a, b) = a * b.
GCF and LCM can be calculated independently without any relation.
GCF and LCM are the same for any two numbers.
The GCF is always greater than the LCM.
If the GCF of two numbers is 12 and their LCM is 60, what are the two numbers?
24 and 30
15 and 45
18 and 36
12 and 60
How can you use GCF to simplify fractions?
Add the GCF to both the numerator and denominator.
Use the GCF to divide both the numerator and denominator of a fraction.
Multiply both the numerator and denominator by the GCF.
Subtract the GCF from the numerator and denominator.
In a school, 12 students can be grouped into teams of 4. What is the GCF of 12 and 4?
6
4
8
2
If you want to find the LCM of 9 and 15 using prime factorization, what are the prime factors?
The prime factors of 9 and 15 are 1 and 4.
The prime factors of 9 and 15 are 3 and 5.
The prime factors of 9 and 15 are 2 and 7.
The prime factors of 9 and 15 are 6 and 10.
Describe a real-life situation where finding the LCM would be useful.
Determining the average of a set of values.
Finding the greatest common divisor of two numbers.
Calculating the area of a rectangle.
Scheduling events that repeat at different intervals.
