Question

the length , breadths and height o f a room are 825cm, 675cm and 450cm respectively. Find the longest tape which can measured the three dimension of the room exactly​

Answer 1

Answer:

75 cm is the three dimension of the room exactly.

Step-by-step explanation:

We need to find H.C.F of 825, 675 and 450 which would be equal to the longest tape which can measure the three dimensions of the room exactly.

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.