the lenght of a room is 160 cm,breadth is 80 cm and the height is 60 cm. find the longest measuring tape which will measure dimensions of the room exactly.
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The lenght of a room is 160 cm,breadth is 80 cm and the height is 60 cm. find the longest measuring tape which will measure dimensions of the room exactly.
Length of the room=160cm
Breadth of the room=80cm
Height of the room=60cm
Longest tape to measure the length,breadth and height of the room.
Since,
measuring tape will be smaller than 160,80,60
We need to find h.c.f.
160=2×2×2×2×2×5
80=2×2×2×2×5
60=2×2×3×5
Take out common multiples in all these 3 number =2×2×5=20
Hence,h.c.f.=20cm
So,the length of measuring tape is also 20 cm.
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