144 cartons of coke cans and 90 cartons of pepsi cans are to be stacked in a canteen- If each stack is of same height and is to contain cartons of the same drink- what would be the greatest number of cartons each stack would have-

Question

Toppr Admin · Accepted Answer

In order to arrange the cartons of the same drink in the same stack, we have to find the greatest number that divides $144$ and $90$ exactly.
Using Euclid's division algorithm, to find the H.C.F. of $144$ and $90$ .

$144 = 90$ $\times$ $1 + 54$
$90 = 54$ $\times$ $1 + 36$
$54 = 36$ $\times$ $1 + 18$
$36 = 18$ $\times$ $2 + 0$
So, the H.C.F. of $144$ and $90$ is $18$ .
Number of cartons in each stack $= 18.$

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

$144$ cartons of coke cans and $90$ cartons of pepsi cans are to be stacked in a canteen. If each stack is of same height and is to contain cartons of the same drink, what would be the greatest number of cartons each stack would have?