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The greatest possible length which can be used to measure exactly the lengths 7m, 3m 85cm, 12m 95 cm, is ?

Question

The greatest possible length which can be used to measure exactly the lengths 7m, 3m 85cm, 12m 95 cm, is ?

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Solution

To find the greatest possible length which can be used to measure exactly the lengths 7m, 3m 85cm, 12m 95 cm, we need to find the highest common factor (HCF) of the three lengths.

Step 1: Convert all measurements to the same unit. In this case, we'll convert everything to centimeters.

  • 7m = 700cm
  • 3m 85cm = 385cm
  • 12m 95cm = 1295cm

Step 2: Find the HCF of 700cm, 385cm, and 1295cm.

The HCF of 700, 385, and 1295 is 5.

So, the greatest possible length which can be used to measure exactly the lengths 7m, 3m 85cm, 12m 95 cm, is 5cm.

This problem has been solved

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