Question

24 oranges and 36 guavas are to be packed in some cartons such that no fruits are left. The greatest possible number of cartons is .

• A. 9
• B. 12
• C. 15

Answer 1

The correct option is B 12

Number of oranges = 24
Number of guavas = 36

To find the maximum number of cartons possible, we have to find the greatest common factor of 24 and 36.

Let us find the factors of 24 and 36 using divisibility concept.

Factors of 24 are:


Factors of 36 are:


Now, let us find the common factors of both the numbers using Venn diagram.


The greatest number among the common factors is 12.

∴ Greatest common factor = 12

So, 24 oranges and 36 guavas can be packed in 12 cartons equally.