1. if an ape at the zoo drank 2.38 gallons of water out of a full five-gallon drum, how much water...
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1. If an ape at the zoo drank 2.38 gallons of water out of a full five-gallon drum, how much water would be left in the drum?
2. McKayla bought a picture frame that cost $6.95, a candle that cost $3.25, and a
bottle of lotion that cost $5.85. Estimate the total for the items purchased?
• Common factor – factors that are shared by two or more numbers
• Greatest Common Factor (GCF) – the largest number that two or more numbers share as a factor
• Find the greatest common factor of two or more numbers.
Identify Common Factors
Identify the common factors of 20 and 36.First, list the factors by pairs for each number.
Answer: The common factors are 1, 2, and 4.
Circle the common factors.
Find the GCF by Listing Factors
Find the GCF of 36 and 48.
First, make an organized list of the factors for each number.
36: 1 × 36, 2 × 18, 3 × 12, 4 × 9, 6 × 6 → 1, 2, 3, 4, 6, 9, 12, 18, 36
48: 1 × 48, 2 × 24, 3 × 16, 4 × 12, 6 × 8 → 1, 2, 3, 4, 6, 8,12, 16, 24,
48The common factors are 1, 2, 3, 4, 6, and 12, and the greatest of these is 12. So, the greatest common factor or GCF of 36 and 48 is 12.
Find the GCF by Using Prime Factors
Divide by prime numbers.
Answer: So, the GCF of 52 and 78 is 2 × 13 or 26.
Divide both 52 and 78 by 2. Then divide the quotients by 13.
SALES Anna sells bags of different kinds of cookies. She made $27 selling bags of peanut butter cookies, $18 from chocolate chip cookies, and $45 selling bags of oatmeal cookies. Each bag of cookies costs the same amount. What is the most that Anna could charge for each bag of cookies?factors of 18: 1, 2, 3, 6, 9, 18
factors of 27: 1, 3, 9, 27
factors of 45: 1, 3, 5, 9, 15, 45
The GCF of 18, 27, and 45 is 9.
Answer: So, the most she could charge for each bag is $9.
Use the GCF to Solve a Problem
List all the factors of each number. Then find the greatest common factor.
A. A
B. B
C. C
D. D
Mr. Morgan has 24 Snickers bars and 36 chocolate chip cookies to use as prizes for the spelling bee. If he wants every winner to receive the same number of Snickers bars as cookies, what is the greatest number of winners he could have if he gives away all the prizes?
A. A
B. B
C. C
D. D
A bag of gum has 3 different flavors: 8 peppermint, 12 cinnamon, and 16 bubblegum. What is the greatest number of people who could share the whole bag of gum if each person received an equal amount of each flavor?