Question

2. In a school library, there are 780 books of English, 364 books of Hindi and 624 books of
mathematics. The librarian wants to arrange these books across the maximum number of
shelves such that each shelf has the same number of books of each subject. Find the
number of shelves that can be used. What would be the number of these books in each
shelf?​

Answer 1

Answer:

in each shelves there will be 780 books for English and 364 books for Hindi and 624 books of of mathematics

Step-by-step explanation:

1. according the librarian wants to arrange these books across the maximum number of cells at this itself has the same number of books of each subject then the cells are also 780 then there will be 780 books for English 364 books for Hindi 624 books for mathematics

Answer 2

Answer:

From the question,

Number of English book =780

Number of Science book =364

Now, find the factors of 780 and 364

The factors of 780=2×2×3×5×13

The factors of 364=2×2×7×13

∴ The HCF of 780 and 364=2×2×13=52

Hence, the minimum number of book in each self =52.