Question

A boy wishes to cut as many pieces of rope of equal length as he can from
pieces that are 104,78 and 65 m long. If he wants the pieces to be as long as
possible and does not like to waste any rope, then how long should each piece
be?​

Answer 1

Answer:

The length of 1st rope = 10478 m and the length of 2nd rope = 65 m.

To find :

Take the HCF of 10478 m and 65 m.

.°. the HCF of 10478 and 65, we have

10478 = 2×13×13×31

65= 5×13

.°. the HCF of 10478 and 65 =13

thus, 13 m of rope should be cut from the given ropes.

Answer 2

Answer:

HCF 35,49,56 is 7.

The total number of pieces is=20.