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Which greatest possible length can be used to measure exactly 15 meter 75 cm, 11 meter 25 cm and 7 meter 65 cm

Question

Which greatest possible length can be used to measure exactly

15 meter 75 cm, 11 meter 25 cm and 7 meter 65 cm

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Solution

To find the greatest possible length that can measure the given lengths exactly, we need to find the Greatest Common Divisor (GCD) of the given lengths.

Step 1: Convert all lengths to the same unit. Here, we can convert all lengths to centimeters for simplicity.

  • 15 meters 75 cm = 1575 cm
  • 11 meters 25 cm = 1125 cm
  • 7 meters 65 cm = 765 cm

Step 2: Find the GCD of the three lengths.

  • GCD of 1575, 1125, and 765 is 15 cm.

So, the greatest possible length that can measure 15 meter 75 cm, 11 meter 25 cm and 7 meter 65 cm exactly is 15 cm.

This problem has been solved

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