Question

150 cola cans and 260 fruit juice cans need to be stacked in a school canteen. If each stack is to be of the same height and has to contain cans of the same type, find the greatest number of cans each stack can have.

Answer 1

The greatest number of cans each stack can have = 10

Explanation:

Given : Number of cola cans = 150

Number of fruit juice cans = 260

If each stack is to be of the same height and has to contain cans of the same type, then the greatest number of cans each stack can have = GCD (150,260)

Prime factorization of 150 and 260:

150= 2 x 3 x 5 x 5

260 = 2 x 2 x 5 x  13

GCD (150,260) = 2 x 5 =10

Thus , the greatest number of cans each stack can have = 10

# Learn more :

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

https://brainly.in/question/3065138

Answer 2

Answer:

we have to take the G.C.F. of that number