Explanation:

- To solve for the largest number that, when 394 and 658 are divided, leaves remainders of 1 and 3, respectively, we first subtract the remainders from the numbers:

- 394 - 1 = 393

- 658 - 3 = 655

- We need to find the greatest common divisor (GCD) of 393 and 655.

- Calculate the GCD:

- Break both numbers into prime factors or use the Euclidean algorithm.

- 393 and 655 both have a GCD of 131.

- Now, compare with the given options:

- Option 1: 143 (Incorrect)

- Option 2: 141 (Incorrect)

- Option 3: 133 (Incorrect)

- Option 4: 131 (Correct)

- Option 4: 131 is the largest divisor leaving the specified remainders.

“”