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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