Do you know what is the answer?

Question

Miko has three pieces of string with lengths of 140 cm, 168 cm and 210 cm.

She wants to cut all three pieces of string into smaller pieces of equal length such that there is no leftover string.

(a) What is the greatest possible length of each of the smaller pieces of string?

(b) How many smaller pieces of string can she get altogether?



Answer 1

140, 168, 210

divide by 2, as they are all even

70, 84,105

divide by 7

10, 12, 15

no more common factors of all three, so

2x7=14

cut them into 14 cm pieces

37 pieces

14x37 = 140+168+210 = 518 cm total

a) 14 cm for each piece

b) 37 pieces