Comparing Filtered Lists

I'm trying to compare filtered lists across several worksheets. What I'd like to do is:

1) compare the filtered list from Sheet 1 with the filtered lists from Sheets 2-5, and if an item from Sheet 1's filtered list appears on ALL the other filtered lists, said item will be pasted to a new list on Sheet 6, under the heading "Sheet 1".

2) I need to do this for every item on every filtered list, ultimately creating five new lists on Sheet 6 (i.e. after going through sheet 1's filtered list, move on to sheet 2 and compare each item to Sheets 1, 3, 4, 5, and qualifying items pasted in Sheet 6 under heading "Sheet 2", etc.).