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Find the length of the longest rope that can be used to measure exactly the ropes of length 1 m 20 cm, 3m 60 cm and 4 m.

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Find the length of the longest rope that can be used to measure exactly the ropes of length 1 m 20 cm, 3m 60 cm and 4 m.

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Length of ropes are 4 m, 3 m 60 cm and 1 m 20 cm = 400 cm, 360 cm, 120 cm

Finding HCF (400, 360, 120)

10, 9 and 3 has no common divisor

HCF (400, 360, 120) = 2 × 2 × 2 × 5 = 40

The length of the rope will be 40 cm

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