GCD of 483 and 1518

What is GCD of 483 and 1518?
GCD(483, 1518) = 69
69 is the greatest common factor of 483 and 1518.
69 is the highest common factor or the largest positive integer that divides each one of the integer in this group of 483 and 1518.

Suppose a store owner has 483 apples and 1518 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: 483, 1518
Find GCD(483 and 1518) = ?

step 2 Find the prime factors of all integers in the group:
483 = 3 x 7 x 23
1518 = 2 x 3 x 11 x 23

step 3 Identify the common prime factors:
The common prime factors shared by all integers (483, 1518) are: 3 × 23.

step 4 Multiply the common prime factors to find the greatest common factor:
GCD(483, 1518) = 3 × 23 = 69.

step 5 Real-world conclusion:
The maximum number of identical fruit baskets that can be made is 69.
Each basket will contain 7 apples and 22 oranges.

GCD(483, 1518) = 69