Question

The length, breadth, and height of a room are 825 cm, 675 cm and 450 cm respectively. Find the longest tape which can measure the three dimensions of the room exactly.

Answer 1

find out the prime factors of them.

there fore 75 cm tape is the longest tape which can measure the three dimensions of room exactly

dear

Answer 2

Answer:

First, we need to find out the prime factors of 825 675 & 450

(prime factorization of 825, 675, and 450. From the above, we can say that (3×52) is common for 825, 675, and 450. ∴HCF (825, 675, 450) = 3×5×5=75.

Once we find the prime factors we will get  75 cm. Therefore 75cm of tape is the longest tape that can measure the three dimensions of the room exactly

HOPE THIS HELPED :)