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

Given:

Length of room  =  825 cm

Breadth of room = 675 cm

Height of room= 450 cm

To find: The longest tape which can measure the three dimensions of the room exactly , we have to find  H C F

Solution:

Factors of  $825  =  3 \times 5 \times 5 \times 11$

Factors of  $675 = 3 \times 3 \times 3 \times 5 \times 5$ 

Factors of  $450 = 2 \times 3 \times 3 \times 5 \times 5$

Common factors are  $3 \times 5 \times 5$

$3 \times 5 \times 5  =  75$

So, 75 cm is the length of the longest tape which can measure the three dimensions of the room exactly.

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Updated on: 10-Oct-2022

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