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

By BYJU'S Exam Prep

Updated on: September 25th, 2023

The longest tape which can measure the three dimensions of the room exactly is 75 cm found using HCF. According to the question, we should determine the longest tape length. We must determine the H.C.F of the room’s breadth, length, and height in order to determine the longest tape length that can measure the space’s three dimensions.

### Steps to find the longest tape which can measure the three dimensions

We have to factorize all three given dimensions.

825 = 3 x 5 x 5 x 11

675 = 3 x 3 x 3 x 5 x 5

450 = 2 x 3 x 3 x 5 x 5

3, 5, and 5 are the common prime factors.

HCF = 3 x 5 x 5 = 75

Therefore, 75 cm is the length of the longest tape.

Highest Common Factor

The highest Common Factor is the acronym for this term. The highest factor that may divide two integers evenly is known as the HCF of two numbers. HCF can be assessed using two or more numbers. It is the most powerful divisor for any pair of integers that can divide the inputted numbers equally or fully.

The two most popular techniques for determining the HCF of the supplied numbers are:

• Division Method
• Prime Factorization Method

Summary:

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

The length, breadth, and height of a room are 825 cm, 675 cm, and 450 cm respectively. The longest tape which can measure the three dimensions of the room exactly is 75 cm found using HCF.

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