Question

144 cartons of coke cans and 90 cartons of pepsi cans are to stacked in a canteen . if each stack is of the same height and is to contain cartons of the same drink. what would be that greatest mumber of cartons each stack would have .

Answer 1

Given that 144 cartons of Coke cans and 90 cartons of Pepsi cans are to be 

stacked in a canteen.

144 = 3 x 3 x 2x 2x 2x 2

90 = 3 x 3 x 2 x 5

H.C.F ( 144 , 90) = 3 x 3 x 2 = 18.

∴ We have 18 number of cartons each stack

Answer 2

Here we need to find greatest number of cartons each stack would have. So we need to apply euclid division Lemma :

144 = 90 × 1 + 54

90 = 54 × 1 + 36

54 = 36 × 1 + 18

36 = 18 × 2 + 0

Therefore 18 is HCF

So 18 carton will be in each stack