19. In a school library, there are 260 books of English and 150 books of Science. Ms. 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?
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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.
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