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 when used an exact number of times.

Answer 1

Answer:

Let's find the prime factors of 825, 675 and 450. 3, 5 and 5 are the common prime factors. Therefore, 75 cm is the longest tape which can measure the three dimensions of the room exactly

Step-by-step explanation:

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Answer 2

Let's find the prime factors of 825, 675 and 450.

 

825=3×5×5×11

 

675=3×3×3×5×5

 

450=2×3×3×5×5

 

 

3, 5 and 5 are the common prime factors.

 

Therefore. H.C.F =3×5×5=75

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

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