Question

the greatest length of the tape that 616 and 1100 meters can be assured exactly is​

Answer 1

SOLUTION

TO DETERMINE

The greatest length of the tape that can measure 616 meters and 1100 meters exactly

EVALUATION

We have to find the greatest length of the tape that can measure 616 meters and 1100 meters exactly

Now

616 = 2 × 2 × 2 × 7 × 11

1100 = 2 × 2 × 5 × 5 × 11

Hence HCF = 2 × 2 × 11 = 44

Hence the required greatest length of the tape that can measure 616 meters and 1100 meters exactly = 44 meters

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