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The length, breadth and height of a room are 90 m, 50 m and 40 m, respectively. Determine the longest tape which can measure the three dimensions of the room.
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The longest tape which can measure the three dimensions of the room is of 10 m
Step-by-step explanation:
GIVEN
Length = 90 m
Breadth = 50 m
Height = 40 m
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TO DETERMINE
The longest tape which can measure the three dimensions of the room.
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To determine the longest tape which can measure the three dimensions of the room.
We need to find the common prime factors of 90 , 50 , 40
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1) FACTORS OF 90
90 = 2 × 5 × 9
2) FACTORS OF 50
50 = 2 × 5 × 5
3) FACTORS OF 40
40 = 2 × 5 × 4
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The common prime factors of 90 , 50 , 40 are 2 and 5
Therefore,
HCF = 2 × 5
HCF = 10
The longest tape which can measure the three dimensions of the room is of 10 m
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