Answer:
To find the largest number of books that Hiya can place in one shelf, we need to determine the greatest common divisor (GCD) of the three given numbers: 60, 75, and 105.
The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
The factors of 75 are: 1, 3, 5, 15, 25, 75.
The factors of 105 are: 1, 3, 5, 7, 15, 21, 35, 105.
From these lists, we can see that the common factors among the three numbers are 1 and 3. Therefore, the largest number of books that Hiya can place in one shelf is 3.
Explanation: