Question

Find the greatest number that will divide 18 and 48 without leaving a remainder.
(2 marks)

Answer 1

Required number is the HCF of 18 and 48.
$18=2\times 3\times 3$
$48=2\times 2\times 2\times 2\times 3$
(1 mark)

$\text{Required HCF}=2\times 3$
HCF of 18 and 48 is 6
$\therefore \text{The greatest number that will divide 18 and 48 without leaving a remainder is 6.}$
(1 mark)