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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
Lý thuyết ước chung và ước chung lớn nhất toán 6 - Vuihoc Luyện tбєp ЖЇC
Identify the prime factors that are common to all numbers. The number of groups must be a common factor of 48 and 72
Since all common factors of a set of numbers are actually factors of their , it is often faster to: of the numbers. Find all factors of that . These are your common factors. 3. Step-by-Step Guide to Finding ƯCLN To find the of numbers greater than 1, follow these three steps: Summary Table Example: (12, 18) Ư (Factor) Numbers
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?
Decompose each number into its prime factors.
Multiply these common prime factors together, each raised to its smallest power found in the factorizations. 4. Practice Exercises (Luyện tập) Problem 1: Find the common factors of 12 and 15. Step 1: Step 2: Answer: Problem 2: Find the Greatest Common Factor of 18 and 24. Factorize: Identify common prime factors: 2 and 3. Smallest powers: 212 to the first power 313 to the first power Calculation: