01 - Grate the peeled potatoes using a box grater. Gather the shredded potatoes in a clean kitchen towel and squeeze firmly to extract as much moisture as possible. Transfer the dried potatoes to a mixing bowl.
02 - Add the melted butter, vegetable oil, garlic powder, onion powder, salt, and pepper to the grated potatoes. Toss until the seasonings are evenly distributed throughout the mixture.
03 - Heat a large nonstick skillet or griddle over medium-high heat. Divide the potato mixture into 4 equal portions. Press each portion into a thin patty approximately 4 inches in diameter. Cook for 3 to 4 minutes per side until each patty is deep golden brown and crisp. Remove from the skillet and keep warm.
04 - Gently shape the ground beef into 4 loose balls, being careful not to overwork the meat. Heat the skillet or griddle over high heat. Once the surface is smoking hot, place the beef balls on the skillet and immediately smash each one flat with a heavy-duty spatula or burger press. Season the top generously with salt and pepper.
05 - Cook the patties for 2 to 3 minutes until the edges are browned and crisped. Flip each patty, place a slice of cheddar cheese on top, and continue cooking for 1 to 2 minutes until the cheese is fully melted and the center is cooked through.
06 - Spread burger sauce on the bottom half of each toasted bun. Layer a lettuce leaf, a tomato slice, and a few rings of red onion on top. Add a crispy hash brown patty, then the cheesy smashed burger, followed by pickle slices. Cap with the top bun.
07 - Serve the burgers immediately while the hash browns are still crisp and the cheese is melted for the best texture and flavor.