Question

In a school library, there are 780 books of English and 364 books of Science. Mr. Yakang, the librarian of the school wants to store these books in shelves such that each shelf should have the same number of books of each subject. What should be the minimum number of books in each shelf?

Answer 1

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.