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Name________________________________________Date_______Period________
GCF & LCM – Part 1
Basic Practice
Calculate the GCF and LCM of each set of numbers. SHOW YOUR WORK!
1) 10 and 6 GCF = ______ 2) 12 and 15 GCF = _______
LCM = ______ LCM = _______
3) 21 and 84 GCF = ______ 4) 36 and 90 GCF = _______
LCM = ______ LCM = _______
GCF & LCM – Part 2
Problem Solving
Read each problem. Circle whether the word problem relates to GCF or LCM. Then, solve the problem using any strategy. Show your work!
5. Kaidan has two rolls of streamers to use in decorating the school gym for a pep rally. The blue roll is 56 yards long, and the yellow is 35 yards long. If he wants to make all of the streamers the same length, what is the greatest length each streamer can be? How many blue streamers and how many yellow streamers will there be?
6. Two students are stacking blocks, one on top of the other. Kayla’s blocks are 10 cm high, and Laylah’s blocks are 12 cm high. How tall will their stacks be when they are the same height for the first time? How many blocks will be on Kayla’s stack? How many on Laylah’s stack?
7. Each student needs a pencil and an eraser to take a test. Pencils come 8 in a box and erasers come 10 in a bag. What is the least number of boxes and bags needed for each pencil to have an eraser, with no pencils or erasers left over?
[pic]
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GCF or LCM
Length of streamers___
# blue streamers_____
# yellow streamers___
GCF or LCM
# of cm tall ______
# Kayla’s blocks ____
#Laylah’s blocks ____
GCF or LCM
Total Pencils with Erasers ________
Pencil boxes ______
Bags of Erasers ____
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