there are 462 girls and 728 boys in a school .if they were to be arranged in groups pairing an equal number of boy and girls, find the maximum number of students possible in each group.
Answers
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The maximum number of students possible in each group is 14.
Given,
The number of girls is 462.
The number of boys is 728.
To Find,
The maximum number of students possible in each group.
Solution,
In this type of question, we have to take the HCF of the given numbers.
So, before solving the question, let's understand the concept of HCF.
HCF :
HCF stands for Highest Common Factor. The highest factor that divides two numbers evenly is the HCF of two numbers. Two or more numbers can be evaluated using HCF. Two or more numbers can be divided equally or completely by it, and this is said to be the greatest divisor.
Let's take the HCF of the numbers 462 and 728 by the prime factorization method.
462 = 2×3×7×11
728 = 2×2×2×7×13
So, the HCF of the numbers 462 and 728 is,
= 7 × 2
= 14.
The maximum number of students possible in each group is 14.
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