Question

sonia buys two off cuts of ribbon in a sale. one is 153 cm long. the other is 204 cm long. she cuts them so that she ends up with a number of peices of the same length. whatis the greatest length each piece can be?

Answer 1

This is the concept of of application of Greatest Common Factor (GCF). The greatest length each piece can be will be found from GCF of 153 and 204
153=51×3
204=51×4
GCF (153,204)=51
therefore the GCF of 153 and 204 is 51. We conclude that the greatest length each piece can be will be 51 cm long.