Question

Raman is decorating a few gift. He has a roll of red ribbon which is 56 m long and another roll of golden ribbon, 72 mlong. If he wants to cut these ribbons into the longest pieces of equal length without wasting any part, what length of pieces should he cut ?

Answer 1

$$\begin{gathered} 56=2\times 2\times 2\times 7 \\ 72=2\times 2\times 2\times 3\times 3 \\ \mathrm{HCF}=2\times 2\times 2=8 \\ \mathrm{Therefore},\mathrm{HCF}\mathrm{of}56\mathrm{m}\mathrm{and}72\mathrm{m}\mathrm{is}8\mathrm{m}. \\ \mathrm{Hence},\mathrm{he}\mathrm{should}\mathrm{cut}\mathrm{the}\mathrm{ribbon}\mathrm{of}8\mathrm{m}\mathrm{size}. \end{gathered}$$