The greatest number of cans each stack can have is 10.
What is Greatest Common Divisor (GCD)?
The number that divides two or more numbers most precisely by itself is said to be the greatest common divisor (GCD) of those numbers. It is also defined as the highest common factor (HCF).
If a and b are two numbers then the greatest common divisor of both numbers is denoted by GCD(a, b).
Given, Total number of cola cans = 150
Total number of fruit juice cans = 260
According to the question condition, we need to find GCD (150,260)
Now, the prime factorization of 150 and 260 are:
150= 2 x 3 x 5 x 5
260 = 2 x 2 x 5 x 13
So, common factor = 2 x 5 = 10
Then, GCD (150,260) = 10
Hence, the greatest number of cans in each stack can have 10.
To learn more about the greatest common divisor
brainly.com/question/1535295
#SPJ13
