Question

Three sets of english, mathematics and science books containing 336, 240 and 96 books respectively have to be stacked in such a way that all the books are stored subject wise and the height of each stack is the same. how many stacks will be there?

Answer 1

Answer:

there are 14 stack is have

Step-by-step explanation:

given : set of book

 English = 336

 Mathematics = 240

 Science = 96

find the stack of book

first find the H.C.F

Using prime factorization method

336 = 2 x 2 x 2 x 2 x 3 x 7

240 = 2 x 2 x 2 x 2 x 3 x 5

96 = 2 x 2 x 2 x 2 x 2 x 3

H.C.F = 2 x 2 x 2 x 2 x 3 = 48

height of each book = 48

No of stack = 336/48 + 240/48 +96/48

                   = 7 + 5 + 2 = 14

no of stack = 14