Question

304,
The length, breadth and height of a room are 12m, 15m and 18m respectively. Determine
the length of longest stick that can measure all the dimensions of the room in exact number
of times?​

Answer 1

The longest length of stick that can measure all dimensions of the room is the Highest common factor it's length, Breadth, height.

Now, HCF of 12,15,18

12=3*2*2

15=3*5

18=3*3*2

Therefore, HCF of 12,15,18 is 3m.

The length of longest stick that can measure all the dimensions of the room in exact number of times is 3m.