There is a rectangular floor tile 48 cm long and 28 cm wide. If you cut it into a square with the same side length and area, there is no surplus. How many pieces can you cut at least? If you use it to pave a square floor, how many such tiles are needed at least

There is a rectangular floor tile 48 cm long and 28 cm wide. If you cut it into a square with the same side length and area, there is no surplus. How many pieces can you cut at least? If you use it to pave a square floor, how many such tiles are needed at least

The greatest common divisor is 4, so the side length of the square is 4cm, at least (28 △ 4) × (48 △ 4) = 84
The least common multiple is 336, so the side length of the square is 336 cm, which is (336 △ 28) × (336 △ 48) = 84