Somewhat Square Sudoku
Fill the empty cells in the grid above with digits such that each row, column, and outlined 3-by-3 box contains the same set of nine unique digits1, and such that the nine 9-digit numbers2 formed by the rows of the grid has the highest-possible GCD over any such grid.
Some of the cells have already been filled in. The answer to this puzzle is the 9-digit number formed by the middle row in the completed grid.