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.

Answers

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.Submitted on 3/3/2024 | Answered by Vandana Rana

Answer :

we need to find the H.C.F of length, breadth, and height of the room respectively.
We have to factorize all three given dimensions.
825=3x5x5x11
675=3 ×3×3×5×5
450=2×3×3×5×5
Thus, 3,5 and 5 are the common prime factors here.
So, HCF=3×5×5 =75
Hence, the length of the longest tape should be 75cm.