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?

Given: Length, breadth and height of a room are 825 cm, 675 cm and 450 cm respectively.

To find: The longest tape which can measure the three dimensions.

Solution:

To find the longest tape which can measure the three dimensions of the room exactly we need to calculate HCF of 825, 675 and 450.

Calculating HCF of 825, 675 and 450:

Writing all of the numbers as a product of their prime factors:

The prime factors of 825 are: 

• 3, 5, 5, 11

The prime factors of 675 are: 

• 3, 3, 3, 5, 5

The prime factors of 450 are: 

• 2, 3, 3, 5, 5

Listing all the common prime factors: 3, 5, 5

Find the product of all common prime factors: 3 $\times$ 5² = 75

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

31 Views

Kickstart Your Career

Get certified by completing the course

Get Started