Question

three piece of timber 49m, 56m and 77m long have to be divided into plank of the same length. what is greatest possible length of each plank.
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Answer 1

Answer:

7m

Step-by-step explanation:

length of three piece of timber= 49m, 56m and 77m

find the HCF of 49, 56 and 77 -

now, we get 7 as the HCF of 49, 56 and 77

so, the greatest possible length of each plank to be divided in the same length is 7m.

hope it helps.

Answer 2

Answer:

First we take HCF of each plank 49m, 56m and 77m Because we know that it gives highest value of common factor.

let we take HCF, We get

49=7×7

56=2×2×2×7

77=7×11

The HCF is 7.so, greatest possible length of each plank is 7