length of tape required to measure room of 7m 20 cm, 5m 60 cm, 4m. what is the largest length of tape used to measure all three dimensions
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The length, breath and height of a room are 8m 25cm, 6m 75cm and 4 m 50cm respectively. Find the longest tape, which can measure the three dimensions of the room exactly.
Asked by chanchalsharma048 | 20th May, 2019, 05:48: PM
Expert Answer:
Length of the room = 8m 25cm = 825 cm
Breadth of the room = 6m 75cm = 675 cm
Height of the room = 4m 50cm = 450 cm
Prime factorization of 825, 675 and 450 are as follows:
825 = 3×5×5×11
675 = 3×3×3×5×5
450 = 2×3×3×5×5
Common factors = 3×5×5
H.C.F. = 75
Hence, H.C.F. of 825, 675 and 450 is 75.
Therefore the length of the longest tap is 75 cm which can measure the three dimensions of the room exactly.
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