Find the size of the largest square slabs which can be paved on the floor of a room 5 meters 44 cm long and 3 meters 74 cm broad?

To find the size of the largest square slabs, we need to find the greatest common divisor (GCD) of the length and breadth of the room.

First, let's convert the length and breadth to centimeters:

Length = 5 meters 44 cm = 544 cm

Breadth = 3 meters 74 cm = 374 cm

Now, we find the GCD of 544 and 374:

GCD(544, 374) = 34

So, the size of the largest square slabs that can be paved on the floor is 34 cm x 34 cm.