A school has 945 girls and 2475 boys. The principal wants to divide them into minimum number of groups for the annual day such that in each group there should be either boys or girls and there should be equal number of students in each groups. Find the minimum number of group that can be formed?55452176
Question
A school has 945 girls and 2475 boys. The principal wants to divide them into minimum number of groups for the annual day such that in each group there should be either boys or girls and there should be equal number of students in each groups. Find the minimum number of group that can be formed?55452176
Solution
To solve this problem, we need to find the greatest common divisor (GCD) of the number of girls and boys. The GCD is the largest number that divides both numbers without leaving a remainder.
Step 1: Find the GCD of 945 and 2475.
The GCD of 945 and 2475 is 15.
Step 2: Divide the total number of students by the GCD.
The number of girls (945) divided by the GCD (15) is 63. The number of boys (2475) divided by the GCD (15) is 165.
Step 3: Add the results of the two divisions.
63 (groups of girls) + 165 (groups of boys) = 228
So, the minimum number of groups that can be formed is 228.
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