If i have 12 pencils and 20 chocolate bars, how many people can I share with so we each have the same amount of each item?
What is the largest common factor of 12 and 20?
Right.
To find out how many people you can share with so that each person has the same amount of pencils and chocolate bars, you need to determine the greatest common divisor (GCD) of the two quantities: 12 and 20.
1. Start by listing all the factors of both 12 and 20:
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 20: 1, 2, 4, 5, 10, 20
2. Identify the common factors:
Common factors of 12 and 20: 1, 2, 4
3. Find the greatest common divisor (GCD) among the common factors:
GCD of 12 and 20 is 4.
The GCD of 4 means that you can divide both 12 pencils and 20 chocolate bars into groups where each group has 4 pencils and 4 chocolate bars. So, you can share with a maximum of 4 people, and each person will have 3 pencils and 5 chocolate bars.