What is the largest number that divides 626, 3127 and 15628 and leaves remainders of 1,2 and 3 respectively?

Explanation

To find the largest number that divides 626, 3127, and 15628 leaving remainders of 1, 2, and 3 respectively, we can follow these steps:

### Step-by-Step Solution:

1. **Adjust the Numbers for Remainders**:
- Since we want to find a number that divides the given numbers with specific remainders, we first adjust each number by subtracting the respective remainder.
- For 626, subtract 1:
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