Word Problems Involving Greatest Common Factor And Least

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H
Miriam’s uncle donated 120 cans of juice
and 90 packs of cheese crackers for the
school field trip. Each student is to
receive the same number of cans of juice
and the same number of packs of
crackers. What is the greatest number of
students that can go on the field trip and
share the food equally with no food left
over?
70
A
Star 94 is gave away a discount coupon for
every fifth and sixth caller. Every twelfth
caller received a free concert ticket. Which
caller was first to receive both the discount
coupon and the concert ticket?
30
M
Beginning at 8:30 A.M., tours of the
National Capitol and the White House begin
at a tour agency. Tours for the National
Capitol leave every 25 minutes. Tours for
the White House leave every 20 minutes.
How often do the tours leave at the same
time?
60
R
I am planting 50 apple trees and 30 peach
trees. I want the same number and type of
tree per row. What is the maximum
number of trees I can plant per row?
100
Z
Two neon lights are turned on at the same
time. One blinks every 4 seconds and the
other blinks every 6 seconds. In 60
seconds, how many times will they blink at
the same time?
10
P
Bridget has swimming lessons every fifth
day and diving lessons every third day. If
she had a swimming lesson and a diving
lesson on May 5, when will be the next
date on which she has both swimming and
diving lessons?
5
B
There are 40 girls and 32 boys who want
to participate in 6th grade intramurals. If
each team must have the same number of
girls and the same number of boys, what is
the greatest number of teams that can
participate in intramurals?
20
N
Mrs. Evans has 75 crayons and 30 pieces
of construction paper to give to her
students. What is the largest number of
students she can have in her class so that
each student gets an equal number of
crayons and an equal number of
construction paper?
8
K
Three pigs entered a race around a track.
Piggly takes 6 minutes to run one lap.
Piglet takes 12 minutes to run one lap and
it takes Wiggly 3 minutes to run one lap. If
all three pigs begin the race at the same
time, how many minutes will it take for all
three pigs to be at the starting point again?
15
S
Shannon is making identical balloon
arrangements for a party. She has 32
maroon balloons, 24 white balloons, and
12 orange balloons. She wants each
arrangement to have the same number of
each color. What is the greatest number of
arrangements that she can make if every
balloon is used?
12
C
Kiara baked 35 oatmeal cookies and 49
chocolate chip cookies to package in plastic
containers for her teacher friends at
school. She wants to divide the cookies
into identical containers so that each
container has the same number of each
kind of cookie. If she wants each
container to have the greatest number of
cookies possible, how many plastic
containers does she need?
4
E
Boxes that are 12 inches tall are being
stacked next to boxes that are 18 inches
tall. What is the shortest height at which
the two stacks will be the same height?
7
Q
A florist has 36 roses, 27 tulips, and 18
carnations she must use to create
bouquets. What is the largest number of
bouquets she can make without having any
flowers left over?
36
T
Ming has 15 quarters, 30 dimes and 48
nickels. He wants to group his money so
that each group has the same number of
each coin. What is the greatest number of
groups he can make?
9
F
At a display booth at the county fair, every
visitor gets a gift bag. Some of the bags
have items in them. Every 2nd visitor gets
a water bottle, every 7th visitor gets a
sticker, and every 10th visitor gets a tshirt. What number bag will be the first
bag to have all three items?
3
Answer Key
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