Determine the maximum side length of square tiles that can be used to cover the floor of a room measuring 5 meters 44 centimeters in length and 3 meters 74 centimeters in width without any gaps or overlaps.

Explanation

To find the largest square tile size, calculate the highest common factor (HCF) of the room's dimensions converted to centimeters (544 cm and 374 cm). The HCF of 544 and 374 is 34 cm, which is the largest possible tile size that fits both dimensions exactly.