Question

Find the greatest length of a tape whose whole length can be used to measure exactly the lengths 56 cm, 154 cm and 294 cm.​

Answer 1

Given: The lengths 56 cm, 154 cm, and 294 cm

To find: The greatest length of a tape whose whole length can be used to measure exactly the given lengths.

Solution:

Now we have given the lengths 56 cm, 154 cm, and 294 cm.

Finding the prime factors, we get:

                 56 = 2 x 2 x 2 x 7

                 154 = 2 x 7 x 11

                 294 = 2 x 3 x 7 x 7

So the HCF is 2 x 7 = 14

Greatest length of a tape = 14 cm

Answer:

        So the greatest length of the tape is 14 cm

Answer 2

Step-by-step explanation:

Given: The lengths 56 cm, 154 cm, and 294 cm

To find: The greatest length of a tape whose whole length can be used to measure exactly the given lengths.

Solution:

>Now we have given the lengths 56 cm, 154 cm, and 294 cm.

>Finding the prime factors, we get:

56=2x2x2x7

154=2x7x11

294=2x3x7x7

>so, the HCF is =2x7=14

Greatest length of a tape = 14 cm

> So the greatest length of the tape is 14 cm.

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