2007 minus half of it, and then minus the remaining one-third, until finally minus the remaining one-third of 2007, find the remaining number Please help me!

2007 minus half of it, and then minus the remaining one-third, until finally minus the remaining one-third of 2007, find the remaining number Please help me!

2007*(1-1/2)*(1-1/3)*..*(1-1/1007)
=2007*1/2*2/3*..*2006/2007
=2007*1/2007
=1