Are you in the northern hemisphere? How old are your hens?
In the northern hemisphere, the days are getting shorter. When days get shorter, chickens molt. When they molt they stop laying eggs and use the nutrition that used to go into egg production to grow new feathers.
Often, not always but often, pullets will skip the molt their first year and continue to lay, but you can count on chickens molting their second fall/winter. Even with pullets it’s possible they are molting.
This time of year molting is the reason for practically all reduction or stopping of egg production. Have you seen feathers laying around?
In my experience, a snake will eat several eggs when it visits, they stay away for a few days while it digests them before it comes back. If it is every egg every day, it is almost certainly not a snake.
Do you have a pet dog that has access to the coop? Has Barfy learned that the egg song is an invitation to a free snack?
There are not many critters that eat an egg without leaving shells or a soggy mess behind that wouldn’t really like to snack on your chickens themselves. Not all critters read the manual and act like they are supposed to. It’s also possible the hens are cleaning up any broken egg shells, but they don’t always do that either. The main reason I doubt it is a wild animal is that the hens don’t all lay at the same time. A wild animal will visit and eat what eggs it can find but it’s not going to take up residence there to wait for them to lay. If it were something like that, odds are you would either see it or it would miss a few eggs.
Another possibility is that they are hiding a nest or two on you, but it’s really rare when they all do that at the same time. I’m betting on a molt, especially this time of year.
