What is the greatest common factor of 27 and 54?
The greatest common factor of 27 and 54 is 27.
There are 40 students in Joan’s class. She plans to invite them to her birthday party. She asked them to suggest a theme for the party. Three of every eight students suggested a rainbow theme party. How many students suggested a rainbow themed party?
A. 3
B. 15
C. 25
D. 40
The number of students who suggested a rainbow theme party can be found by multiplying the total number of students (40) by the fraction of students who suggested a rainbow theme (3/8):
40 * (3/8) = 1.875
Since we can't have a fraction of a student, we round up to the nearest whole number. Therefore, the number of students who suggested a rainbow theme party is:
2
The correct answer is not given in the options provided.
To find the greatest common factor (GCF) of 27 and 54, we can start by listing the factors of each number:
Factors of 27: 1, 3, 9, 27
Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54
From the listed factors, we can see that the common factors of 27 and 54 are 1, 3, 9, and 27. The largest number among these common factors is 27.
Therefore, the greatest common factor of 27 and 54 is 27.
To find the greatest common factor (GCF) of two numbers, you can start by listing the factors of each number and then identifying the largest factor that both numbers share.
For 27:
The factors of 27 are: 1, 3, 9, 27.
For 54:
The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54.
By comparing the factors of both numbers, we can see that the largest factor they have in common is 27. Therefore, the greatest common factor of 27 and 54 is 27.