2015 UMO Problems/Problem 1
Problem
Three trolls have divided 
pancakes among themselves such that:
• Each troll has a positive integer number of pancakes.
• The greatest common divisor of the number of pancakes held by any two trolls is bigger than 
.
• The three greatest common divisors obtained in this way are all distinct.
What is the smallest possible value of ?
Solution
See Also
| 2015 UMO (Problems • Answer Key • Resources) | ||
| Preceded by First Problem |
Followed by Problem 2 | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All UMO Problems and Solutions | ||
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