It sounds like you might be confusing gedmatch (DNA matching) with gedcom (pedigree). Pedigree typically refers to one's paper trail of research, noting one's parents, and their parents, etc. DNA matching is a still evolving science that attempts to compare and match the data from your 23 pairs of chromosomes to other people who might also be in your family tree.
The larger your cM (centimorgan) match, the more likely you are related. With the smaller cM match, it can be just as likely that you're not actually related, because the "match" might actually be just a chance, random match. This is known as IBS (Identical by State). The other is IBD (Identical by Descent), which can be used to confirm an already known paper trail research, or be used to help fill in the missing gaps in one's research.
So, no. Not all of those "matches" are true. You'll have to research the various family trees in try and find where the actual connections are (if any).