Question

determine the longest tape which can be used to measure exactly the lengths 6 m 58 cm 9 m 40 cm and 11 m 28 cm​

Answer 1

Given: the lengths 6 m 58 cm 9 m 40 cm and 11 m 28 cm

To find: determine the longest tape which can be used to measure exactly the lengths 6 m 58 cm 9 m 40 cm and 11 m 28 cm​

Solution:

• Now we have given the lengths:

                6 m 58 cm = 658 cm

                9 m 40 cm = 940 cm

                11 m 28 cm = 1128 cm

• Now calculating HCF of all three, we get:

                658 = 2 x 7 x 47

                940 = 2 x 2 x 5 x 47

                1128 = 2 x 2 x 2 x 3 x 47

• Now the common factors are:

                2 x 47 = 94

                HCF = 94

Answer:

            So the longest  tape which can be used to measure exactly the given lengths is 94 cm.

Answer 2

Answer:

6m58cm-658

9m40cm-940

11m28cm-1128

658-2×7×47

940-2×2×5×47

1128-2×2×2×3+47

common factors are- 2×47

HCF is 94