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This article sets some puzzles and describes how Euclid's algorithm and continued fractions are related.
Euclid's Algorithm II
We continue the discussion given in Euclid's Algorithm I, and here we shall discover when an equation of the form ax+by=c has no solutions, and when it has infinitely many solutions.
Solving with Euclid's Algorithm
A java applet that takes you through the steps needed to solve a Diophantine equation of the form Px+Qy=1 using Euclid's algorithm.
Age 16 to 18 Challenge Level:
My phone number has seven digits: if the last four digits are placed in front of the remaining three you get one more than twice my number! What is the number?
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.