Q.1. Renu purchases two bags of fertiliser of weights 75 kg and 69 kg. Find the maximum value of weight which can measure the weight of the fertiliser exact number of times.

Maximum value of weight which can measure the given weight exact number of time = HCF of 75 g and 69 kg Prime factorisations of 75 and 69 are
$$ \begin{array}{|l} \llap{3~~~~} 75 \\ \hline \llap{5~~~~} 25 \\ \hline \llap{5~~~~} 5 \\ \hline 1 \end{array} $$ $$ \begin{array}{|l} \llap{3~~~~} 69 \\ \hline \llap{23~~~~} 23 \\ \hline 1 \end{array} $$ 75 = 3×5×5
69 = 3× 23