A book seller has 175 English books, 245 Science books and 385 Maths books. He wantsto sell the books in a box, subject – wise in equal numbers. What will be the greatest number of the boxes required? Also find the number of booksfor each subject in a box.​

Step-by-step explanation:                    Finding the HCF of 175, 245 and 385.

175 =  5 × 5 × 7

245 =  5 × 7 × 7;

385 =  5 × 7 × 11

The HCF of 175, 245 and 385 is the product of the two common factors 5 and 7,

Therefore, 5 × 7 = 35

Since each box contains equal number of books, thus the greatest possible number of boxes will be = 35

The number of English books in each box will be = 175/35=5

The number of Science books in each box will be = 245/35=7

The number of Maths books in each box will be = 385/35=11

Hence, the total number of books in each box will be -

= 5 + 7 + 11

= 23