Payment in Gold
Local union laws require that the worker must be paid daily, meaning that after \(X\) days of working, the worker must posses \(X\) grams of gold. What is the minimum number of pieces that Arun has to divide the gold bar into, to ensure that he can pay the daily working in accordance with union laws?
Note: Arun has full control over the size of the pieces, and may be divide the gold bar in any manner. For example, he can divide the gold bar into pieces of \( 5, 6\) and 52.