Question

The lenght, breadth and height of a room are 625 cm, 575 cm, and 350 cm respectively. Find the longest tape which can measure the three dimension of the room exactly.​

Answer 1

Hence, we got HCF = 75. ∴The longest tape which can measure the three dimensions of a room exactly will be 75cm long.

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Answer 2

To find the length of the longest tape which can measure the three dimensions of the room, we need to find the H.C.F of length, breadth and height of the room, i.e. 825, 675 and 450 cms respectively.

Let us factorise all three given dimensions.

825 = 3×5×5×11

675=3×3×3×5×5

450=2×3×3×5×5

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

So, H.C.F =3×5×5=75

Therefore, we need 75 cm longest tape to measure the three dimensions of the room.