Three sets of computer engineering mechanical engineering and electronic engineering books contain 783,1107,513 books respectively these books have to be stacked in such a way that all the books are stored subjectwise in a library and the height of each stack is the same. The total number of stack will be
Answers
Answer:
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The total number of the stack to be calculated.
Step-by-step explanation:
Given,
Number of books in Computer Engineering = 783
Number of books in Mechanical Engineering = 1107
Number of books in Electronic Engineering = 513
To find the total number of stacks to arrange the books subjectwise,
We need to find out the highest common factor of the number of books that are 783, 1107, and 513.
3║783, 1107, 513
_____________
3║ 261, 369, 171
_____________
3║87, 123, 57
____________
29, 41, 19
H.C.F = 3 × 3 × 3
= 27
⇒ H.C.F of 783, 1107, and 513 = 27
Now we have to divide the total number of books of each subject by HCF to get the stack,
No. of. Stacks = (783 / 27) + (1107 / 27) + (513 / 27)
= 29 + 41 + 19
= 89
Therefore, we need 89 stacks to arrange 783 Computer Engineering books, 1107 Mechanical Engineering books, and 513 Electronic Engineering books in the library.