Chapter 4 Fractions, Decimals, And Percents - Lesson 4-2 Greatest Common Factor Worksheet Page 4
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1
2
3
43 × 5 × 5
43–45. See margin.
-3
20 songs
20 songs
4 and 12 are factors of 24. The greatest common factor of 4, 12, and 24 is 4.
35. Sample answer:
The first prism is 8 in.
high, 3 in. long, and
4 in. wide. The second
prism is 8 in. high,
6 in. long, and 5 in.
wide. The third prism
is 8 in. high, 5 in.
long, and 5 in. wide.
★
GEOMETRY
For Exercises 34 and 35, use the
following information.
Jeremy is building rectangular prisms using
one-inch cubes. He is planning to build
three prisms, the first with 96 blue cubes,
the second with 240 red cubes, and the
third with 200 yellow cubes. All of prisms
must be the same height, but not
necessarily the same length and width.
What is the maximum height of each
34.
EXTRA
prism Jeremy can build? 8 in.
See pages 676, 707.
What are the dimensions of all three prisms?
35.
H.O.T.
Problems
CHALLENGE
Determine whether each statement is sometimes, always,
or never true.
The GCF of two numbers is greater than both numbers. never
36.
If two numbers have no common prime factors, the GCF is 1. always
37.
The GCF of two numbers is one of the numbers. sometimes
38.
Using the words factor and greatest common factor,
MATH
39.
explain the relationship between the numbers 4, 12, and 24. Sample answer:
Student Council earned $26 selling
Which set of numbers has the greatest
40.
41.
bottled water, $32 selling oranges, and
GCF? G
$28 selling energy bars. If all items cost
F 4, 5, 20
the same, what is the greatest possible
G 18, 36
price per item? A
H 18, 36, 45
A $2
C $7
J 23, 29
B $4
D $8
What is the prime factorization of 75?
42.
(Lesson 4-1)
ALGEBRA
Graph each equation.
(Lesson 3-7)
y = -x
y = x + 3
y = 2x - 1
43.
44.
45.
ALGEBRA
Solve the equation -7y + 18 = 39. Check your solution.
46.
(Lesson 3-5)
PREREQUISITE SKILL
Serena received a gift card to download music from the
47.
Internet. She downloaded 3 songs on Monday, 5 songs on Tuesday, and one
half of what was left on Wednesday. She has 6 songs left. How many songs
were initially on the gift card? Use the work backward strategy.
(Lesson 3-4)
189
Lesson 4-2 Greatest Common Factor
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