Heat a lightly greased griddle or cast iron skillet over medium-high heat.
Mash potatoes with flour, butter, and salt until a stiff dough forms.
Turn dough out onto a lightly floured work surface. Knead dough lightly and roll dough out to about 1/2-inch thick. Cut into six triangular wedges.
Working in batches, cook scones, turning once on hot griddle until golden brown, 4 to 5 minutes per side.
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