Question

Mr. Das Gupta teaches three drama classes

Mr. Das Gupta wants to divide each class into groups so that every group in every class has the same number of students and there are no students left over. What is the maximum number of students that he can put into each group ?

• A. $8$
• B. $6$
• C. $4$
• D. $2$

Answer 1

The correct option is B $6$

If we make groups equal to the greatest common factor of the number of students present in the three classes then we can achieve the given requirement.

$24=2\times 2\times 2\times 3$

$30=2\times 3\times 5$

$18=2\times 3\times 3$

Hence,

$GCD(18,24,30)=2\times 3$

$=6$

So in each group maximum of $6$ students can accommodate.