Question

the Length breadth and height of a room are 12 15 and 18 respectively determine the length of long lasting stick that can measure all the divisions on the room in exact number of times ​

Answer 1

Answer:

Given :

The length 'breadth and height of a room are 12m 15m and 18m respectively.

To find :

Determine the length of longest stick that can measure all the dimensions of the room in exact number of times?

Solution :

To determine the length of longest stick that can measure all the dimensions of the room in exact number of times we apply the highest common factor as HCF is the common factor of the numbers.

Now, We find the HCF of 12,15 and 18.

Factoring the numbers,

$12=2×2×3$

$15=3×5$

$18=2×3×3$

The common factor is all the number is 3.

So, The HCF of 12,15 and 18 is 3.

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