Question

The length, breadth and height of a prayer room are 15m, 12m and 21m respectively. Determine the longest rod which can measure the three dimensions of the room exactly​

Answer 1

Step-by-step explanation:

HCF of 15,12 and 21 will be the longest rod which can measure the three dimensions.

therefore,

HCF of 12 = 3×4

= 3×4×4

HCF of 15 = 3×5

HCF of 21 = 3×7

So,

the highest common factor of 15,12 and 21 is 3

therefore,

3m is the longest rod which can measure the three dimensions of the room