There's no way to tell the make, but there's a way to tell the profile and the size of the gutter.
Basically, there are several different gutter manufacturers, and several companies that manufacture gutter machines. Those are all very similar if not exactly the same in a lot of cases.
1 - By measuring the gutter hanger you have, you'll know if you have a 5" or 6" gutter, as those are standard gutter brackets (you have 5" because of your approximate dimension of 4.5" at the end cap). 2 - That end cap is an stamped product, with a standard "R" (right side) marking, which leads me to believe its a standard seamless K-style gutter.
- By measuring the gutter hanger you have, you'll know if you have a 5" or 6" gutter, as those are standard gutter brackets (you have 5" because of your approximate dimension of 4.5" at the end cap).
- That end cap is an stamped product, with a standard "R" (right side) marking, which leads me to believe its a standard seamless K-style gutter.
It's called seamless because its manufactured from a coil, so it can technically be made to "infinite lengths"infinite lengths. Gutter
Gutter installers typically have a machine and will cut to fit on site. Other companies will do cut and drop on site so you can install the gutter yourself which is pretty cost effective. However, if you can't find anything locally and need it shipped, you'll normally get them in 10' or 20' lengths, as those are standard skid sizes for freight companies to ship products on.
K-style gutters, like any other gutters can be custom manufactured with slight modifications, and by looking at a picture alone without the end cap would not be possible to say with 100% certainty what you have, however, what makes possible to tell yours is a standard seamless 5" k-style gutter is the end cap and hanger size.