Name________________________________________ Date ____/____/________ #_______-____
6.NS.4 GCF, LCM Real World Application
Identifying GCF and LCM
Some Key words and ideas to help you identify GCF/LCM
LCM
GCF
•
All ___________________ words
•
All ____________________ words
•
S__ __ __ __ __ __ t
•
L __ __ __ __ __ t
•
Fewest
•
__________________ (opposite of fewest)
•
Something _______________________
•
__________________ things up
•
___________________ items
•
__________________ things
• When something happens _______________
or
at the _______________ time
1) Z100 gave away Z$100 bill for every 100th caller. Every 30th caller received free concert tickets.
How many callers must get through before one of them receives both a coupon and a concert
ticket?
I am looking for (circle one) GCF -or- LCM
2) Rosa is making a board game that is 16 inches by 24 inches. She wants to use square tiles. What
is the size of the largest tile she can use? How many tiles of this size can she use?
I am looking for (circle one) GCF -or- LCM
6.NS.4 GCF/LCM!
Problem Solving
3) Mrs. Evans has 120 crayons and 30 pieces of paper to give to her students. What is the largest
number of students she can have in her lass so that each student gets an equal number of crayons
and an equal number of paper? How many pieces of paper does each student get? Crayons?
I am looking for (circle one) GCF -or- LCM
4) Two bikers are riding a circular path. The first rider completes a round in 12 minutes. The second
rider completes a round in 18 minutes. If they both started at the same place at 1:00 PM and go in
the same direction, at what time will they meet again at the starting point?
I am looking for (circle one) GCF -or- LCM
5) Try to make up your own GCF -or- LCM problem.
6.NS.4 GCF/LCM!
Problem Solving
Name________________________________________ Date ____/____/________ #_______-____
6.NS.4 GCF, LCM
Stations Recording Sheet
Station 1
In this problem I need to find (circle one)
GCF -or- LCM
Work:
Labeled answer:
Station 2
In this problem I need to find (circle one)
GCF -or- LCM
Work:
Think: How many rows are there? How many pansies and daisies would have to be in each row.
Labeled answer:
Station 3
In this problem I need to find (circle one)
Work:
Labeled answer:
6.NS.3 GCF, LCM
GCF -or- LCM
Station 4
In this problem I need to find (circle one)
Work:
GCF -or- LCM
Challenge: How many boys
and girls are in each group?
Labeled answer:
Station 5
In this problem I need to find (circle one)
Work:
GCF -or- LCM
Challenge: How many mangoes
and kiwis are in each basket?
Labeled answer:
Station 6
In this problem I need to find (circle one)
Work:
Labeled answer:
6.NS.3 GCF, LCM
GCF -or- LCM
Station 1
Macy is painting a design that contains two
repeating patterns. One pattern repeats every 8
inches. The other pattern repeats every 12
inches.
In how many inches will the two patterns begin at
the same place?
6.NS.4 GCF, LCM
Station 2
A gardener has 27 pansies and 36
daisies. He plants an equal number of
each type of flower in each row.
What is the greatest
possible number of
pansies in each row?
6.NS.4 GCF, LCM
Station 3
An airport offers two shuttles that run on
different schedules. Both shuttles leave
the airport at 4:00 P.M.
At what time will they next leave the
airport together?
Shuttle Schedule
6.NS.4 GCF, LCM
Shuttle
Departs
A
every 6 minutes
B
every 9 minutes
Station 4
Fourteen boys and twenty-one girls will
be equally divided into groups.
Find the greatest number of groups that
can be created if no one is left out.
6.NS.4 GCF, LCM
Station 5
A grocery store clerk has 16 mangoes
and 20 kiwis. The clerk needs to put an
equal number of mangoes and kiwis into
baskets.
What is the greatest number of baskets
that can be made so that no fruit is left?
6.NS.4 GCF, LCM
Station 6
Jessica waters her plants every two days.
She trims them every 15 days. She did
both today.
When will she do both again?
6.NS.4 GCF, LCM