Your gutters are over flowing. Nothing is coming out of the downspout.
Yes, your downspouts are clogged.
Down Spouts clog because debris get wedged at the elbows.
The debris over a season or two as it travels downward will get clogged at the bends or elbows in the downspout. Leafs and twigs forced downward and get wedged and compressed.
What do you do when this happens?
Some will get a ladder and a garden hose and try shoving the hose down the spout in hope to unclog it with water pressure which can be dangerous.
