Three sets of English, Hindi, and Urdu books are to be stacked in such a way that the books are stored subject wise and the height of each stack is the same. The numbers of English, Hindi and Urdu books are 336, 192 and 144 respectively. Assuring that the books have that same thickness, determine the number of stacks of English, Hindi and Urdu books.

To arrange the books in the required way,

we have to find the greatest number that divides 336, 192 and 144 exactly.

So, HCF of 336, 192 and 144 is

Common factors are 2 × 2 × 2 × 2 × 3 = 48

∴ HCF = 48, i.e., each stack contains 48 books.

∴ Number of stacks of English books = 336 + 48 = 7

Number of stacks of Hindi books = 192 4 - 48 = 4

Number of stacks of Urdu books = 144 4 - 48 = 3