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 subjecttwise and the height of each stack is the same. Total number of stacks will be :

Answer 1

Answer:

Hcf (each stack) = hcf (336, 240, 96)=48no of stacks of maths bookno of stacks of english book = 7no of stacks of maths book = 5no of stacks of science book = 2total stacks = 14

Hope this will help you

Answer 2

Step-by-step explanation:

Total number of English books = 336

Total number of mathematics books = 240

Total number of science books = 96

∴ Number of books stored in each stack = HCF (336, 240, 96)

Prime factorization:

$336 = {2}^{4} \times 3 \times 7$

$240 = {2}^{4} \times 3 \times 5$

$96 = {2}^{5} \times 3$

∴ HCF = Product of the smallest power of each common prime factor involved in the numbers =

${2}^{4} \times 3 = 48$

Hence, we made stacks of 48 books each Number of stacks = 336/48 + 240/48 + 96/48 = (7+5+2) = 14