Question

mariam distributed 80 books and 72 toys to the children in an orphanage. find the maximum number of children in the orphanage, so that each child get an equal number of gifts?

Answer 1

hcf of 80 and 72 is
$80 = 72 \times 1 + 8 \\ 72 = 8 \times 9 + 1$
so there should be a maximum 8 no. of children