To find the largest tile that can be used to pave the floor of the room using the Highest Common Factor (HCF) method, we first need to convert the dimensions of the room into the same unit. Converting 12m 15cm to cm gives us 1215 cm, and 8m 91cm to cm gives us 891 cm. The HCF of 1215 and 891 is 27 cm. Therefore, the largest tile that can be used to pave the floor of the room is a square tile with a side length of 27 cm.
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