Famous Mathematicians

Mr. Descartes, the History of Mathematics teacher, wrote on the blackboard the names of three famous Mathematicians and their year of birth.
Leonardo da Vinci 1452
Leonhard Euler 1707
Srinivasa Ramanujan 1887

He then asked the students to find the largest number that leaves the same remainder when divided into each of these years of birth.
What is that largest number?


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