Ms. Madison direets two choruses. One chorus has 28 students. The other chorus has 36 students. For rehearsals, she wants to divide each chorus into the largest possible equal groups, with no students left over. How many students will be in each group? O 2 O. O 9 12

To solve this problem, we need to find the greatest common divisor (GCD) of the two numbers of students in each chorus — 28 and 36. The GCD is the largest number that divides both numbers evenly. For 28, its factors are 1, 2, 4, 7, 14, and 28. For 36, the factors are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The common factors are 1, 2, and 4, making the GCD 4. So, Ms. Madison can arrange the students into groups of 4! If Ms. Madison forms groups of 4, the 28 students in the first chorus would make 7 groups (28 ÷ 4 = 7), and the 36 students in the second chorus would form 9 groups (36 ÷ 4 = 9). This allows for a well-organized rehearsal, ensuring everyone is paired up without leaving anyone out. Perfect harmony, indeed!