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GCF and LCM word problems practice
GCF and LCM word problems · 1–12
Decide whether each problem needs the GCF or the LCM, then solve it.
Easy
1.A marching band has 8 drummers and 36 flute players. Every row has the same number of players and only one kind of instrument. What is the greatest number of players in each row?
Easy
2.Ms. Lee has 45 apples and 25 granola bars. She shares them equally among some students with nothing left over. What is the greatest number of students who can share them?
Easy
3.Hot dogs come in packs of 8 and buns in packs of 12. What is the least number of hot dogs you can buy to have exactly as many buns?
Medium
4.There are 56 pencils and 32 erasers. They are packed into identical kits with nothing left over. What is the greatest number of kits that can be made?
Medium
5.Two ribbons are 21 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest the pieces can be?
Medium
6.Two ribbons are 12 cm and 27 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest the pieces can be?
Medium
7.Two ribbons are 12 cm and 9 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest the pieces can be?
Medium
8.Two ribbons are 20 cm and 16 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest the pieces can be?
Medium
9.Two ribbons are 35 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest the pieces can be?
Hard
10.There are 90 pencils and 70 erasers. They are packed into identical kits with nothing left over. What is the greatest number of kits that can be made?
Hard
11.A florist has 28 roses and 49 tulips. She uses all the flowers to make identical bouquets. What is the greatest number of bouquets she can make?
Hard
12.Hot dogs come in packs of 7 and buns in packs of 13. What is the least number of hot dogs you can buy to have exactly as many buns?
Answer key — GCF and LCM word problems practice
GCF and LCM word problems
1.4
2.5
3.24
4.8
5.3
6.3
7.3
8.4
9.7
10.10
11.7
12.91
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