3. 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 exactly.
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Answer:
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.
Step-by-step explanation:
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