GCD of 456 and 298

What is GCD of 456 and 298?
GCD(456, 298) = 2
2 is the greatest common factor of 456 and 298.
2 is the highest common factor or the largest positive integer that divides each one of the integer in this group of 456 and 298.

Suppose a store owner has 456 apples and 298 oranges and wants to package them into identical fruit baskets so that every basket contains an equal number of each item without leaving any remainder. What is the maximum number of identical fruit baskets that can be made, and how many of each item will be in each basket?

GCD Problem and Solution:
step 1 Address the method, input parameters and values:
Integers: 456, 298
Find GCD(456 and 298) = ?

step 2 Find the prime factors of all integers in the group:
456 = 2 x 2 x 2 x 3 x 19
298 = 2 x 149

step 3 Identify the common prime factors:
The common prime factors shared by all integers (456, 298) are: 2.

step 4 Multiply the common prime factors to find the greatest common factor:
GCD(456, 298) = 2 = 2.

step 5 Real-world conclusion:
The maximum number of identical fruit baskets that can be made is 2.
Each basket will contain 228 apples and 149 oranges.

GCD(456, 298) = 2