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The length, breadth, height of a room are 320 cm, 300 cm and 240 cm respectively. Find the longest tape which can measure the dimensions of the room exactly.

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Answer:

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

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