Explanation:

- To find the largest number that completely divides 24, 56, and 96, calculate the greatest common divisor (GCD) of these numbers.

- Determine the factors of each number:

- 24: 1, 2, 3, 4, 6, 8, 12, 24

- 56: 1, 2, 4, 7, 8, 14, 28, 56

- 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

- Find the common factors: 1, 2, 4, 8

- The largest common factor (GCD) is 8.

- Option:1, 4 (incorrect, since 8 is greater)

- Option:2, 1 (incorrect, since 8 is greater)

- Option:3, 8 (correct)

- Option:4, 2 (incorrect, since 8 is greater)

- Correct answer: Option:3, 8