Bagging Snacks: Choose Common
Multiples or Common Factors
Focus Question: How can you decide
when finding common factors is useful in
solving a problem? How can you find the
GCF of two numbers?
Do Now
Use the terms factor, divisor, multiple,
product, and divisible by to write as
many statements as you can about the
number sentence
7 x 9 = 63
Let’s Put Our Thinking Caps On
Seven students are going on a
trip. Sarah is in charge of buying
snacks for the trip. Each person
wants two health bars and a juice
drink. How many should she buy
of each?
BAGGING SNACKS - PAGE 33
1) What are the possible numbers of snack
packs she can make so that the treats are
shared equally? Describe each possibility.
36 bags of trail mix
24 apples
Would we find the GCF or LCM to help us
solve this problem?
24 – 24, 28, 72, 96
36 – 36, 72
LCM = 72
Would we find the GCF or LCM to help us
solve this problem?
24 – 1, 2, 3, 4, 6, 8, 12, 24
36 – 1, 2, 3, 4, 6, 9, 12, 18, 36
Common Factors = 1, 2, 3, 4, 6, and 12
24 A
36 T
8A
12 T
12 A
18 T
12 A
18 T
8A
12 T
8A
12 T
6A
9T
6A
9T
6A
9T
6A
9T
4A
6T
4A
6T
4A
6T
4A
6T
5A
6T
4A
6T
2A
3T
2A
3T
2A
3T
2A
3T
2A
3T
2A
3T
2A
3T
2A
3T
2A
3T
2A
3T
2A
3T
2A
3T
2) What is the greatest number of snack packs
Jane can make? Explain.
3) Suppose Jane’s pet canary ruins six of the
bags of trail mix. Jane wants to share the
apples and the remaining bags of trail mix
equally. What is the greatest number of
snack packs Jane can make?
4) Suppose Jane’s mother replaces the six bags
of trail mix. She also provides the group
with 18 cans of juice. Each snack pack has
the same number of apples, bags of trail mix,
and cans of juice. What is the greatest
number of snack packs Jane can make?
Explain.
5) The cast of a play had a party. The drama
teacher served 20 cookies & 40 carrot sticks
as refreshments. Each cast member ate the
same number of whole cookies and the same
number of whole carrot sticks. Nothing was
left over. The drama teacher did not eat.
How many cast members might have been at
the party? Explain.
CLASSWORK
Working in assigned groups, students will
use chart paper to complete their given
task.
HOMEWORK
Journal Entry #2
a) Describe how you can find the
common factors and the greatest
common factor of two numbers.
b) What information does the
greatest common factor of two
numbers provide in a problem.