A class has 48 female students and 72 male students. They want to divide into groups so that the number of males and females in each group is equal. What is the maximum number of groups possible?
This is the largest number in the set of common factors. 2. How to Find Common Factors (ƯC) There are two primary methods used in practice: Method 1: Direct Listing (For small numbers) List all factors of each number. Identify the numbers that appear in all lists. Luyện tбєp ЖЇC
The number of groups must be a common factor of 48 and 72. To find the maximum number of groups, we find the Calculation: Answer: They can be divided into a maximum of 24 groups. 5. Summary Table Example: (12, 18) Ư (Factor) Numbers a is divisible by Ư(12) = {1, 2, 3, 4, 6, 12} ƯC (Common Factor) Shared factors ƯC(12, 18) = {1, 2, 3, 6} ƯCLN (Greatest CF) Largest shared factor ƯCLN(12, 18) = 6 A class has 48 female students and 72 male students
The practice of Luyện tập ƯC involves identifying the shared divisors of multiple numbers, typically by finding the Greatest Common Factor ( ) first and then listing its divisors. This is the largest number in the set of common factors