Question

a boy wishes to cut as many pieces if rope of equal length as he can from pieces that are 35m, 49m, 56m long.if he wants the pieces to be as long as possible and does not waste any rope how long should each piece be?

Answer 1

For such purpose he should find the HCF of 35, 49, 56 to get the answer.

35 = 5×7

49 = 7×7

56 = 7×8

So HCF = 7

So length of each rope piece should be 7 m.