Question

A saffron ribbon 24m , a white ribb32m ,and a green ribbon 42 m are to be cut and used as a border for a poster .if each piece has to be of equal length, find the greatest length of the piece so that there is no ribbon left over

Answer 1

Given,

The length of the saffron ribbon$\[ = 24\]$

The length of the white ribbon$\[ = 32\]$

The length of the green ribbon$\[ = 42\]$

Solution,

Know that the greatest length of the piece so that there is no ribbon left over is the HCF of the given numbers.

Therefore,

$\[\begin{array}{l} \Rightarrow 24 = 1,2,3,4,6,12,24\\ \Rightarrow 32 = 1,2,4,8,16,32\\ \Rightarrow 42 = 1,2,3,6,7,14,21,42\\ \Rightarrow 2\end{array}\]$

Hence, the greatest length of the piece so that there is no ribbon left-over is$\[2\]$ m.