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#### Resources tagged with Euclid's algorithm similar to Euclid's Algorithm II:

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Broad Topics > Calculations and Numerical Methods > Euclid's algorithm

### Euclid's Algorithm II

##### Stage: 5

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.

### BT.. Eat Your Heart Out

##### Stage: 5 Challenge Level:

If the last four digits of my phone number are placed in front of the remaining three you get one more than twice my number! What is it?

### Solving with Euclid's Algorithm

##### Stage: 4 and 5 Challenge Level:

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.

### Euclid's Algorithm and Musical Intervals

##### Stage: 5 Challenge Level:

Use Euclid's algorithm to get a rational approximation to the number of major thirds in an octave.

### Approximations, Euclid's Algorithm & Continued Fractions

##### Stage: 5

This article sets some puzzles and describes how Euclid's algorithm and continued fractions are related.