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Finding GCF and LCM Practice Worksheet

Determine Greatest Common Factor and Least Common Multiple for pairs of numbers. 10 problems with solution steps.

Factors, GCF, LCM & Division Easy / Beginner Elementary School (Grades 3–5) 10 Problems
Name:
Date:
Class:
Score: ______ / 10
1)
Find the GCF of 12 and 18:
2)
Find the LCM of 12 and 18:
3)
Find the GCF of 15 and 25:
4)
Find the LCM of 6 and 8:
5)
Find the GCF of 24 and 36:
6)
Find the LCM of 9 and 12:
7)
Find the GCF of 18 and 24:
8)
Find the LCM of 4 and 10:
9)
Find the GCF of 20 and 30:
10)
Find the LCM of 8 and 12:

Answer Key & Solutions

Finding GCF and LCM Practice Worksheet
#1: 6
Factors of 12: 1,2,3,4,6,12. Factors of 18: 1,2,3,6,9,18. Greatest common is 6.
#2: 36
Multiples of 12: 12, 24, 36. Multiples of 18: 18, 36. Least common is 36.
#3: 5
Factors of 15: 1, 3, 5, 15. Factors of 25: 1, 5, 25. GCF is 5.
#4: 24
Multiples of 6: 6, 12, 18, 24. Multiples of 8: 8, 16, 24. LCM is 24.
#5: 12
Factors of 24 and 36 share 12 as the greatest divisor.
#6: 36
Multiples of 9: 9, 18, 27, 36. Multiples of 12: 12, 24, 36. LCM is 36.
#7: 6
Both 18 and 24 are divisible by 6.
#8: 20
Multiples of 10: 10, 20. 20 is divisible by 4. LCM is 20.
#9: 10
Factors of 20: 1, 2, 4, 5, 10, 20. Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30. GCF is 10.
#10: 24
Multiples of 12: 12, 24, 36... 24 is divisible by 8 (8 × 3 = 24). LCM is 24.