Online GCD Table Visualization

Visualize Greatest Common Divisor relationships with interactive tables and heatmaps for number theory exploration.

GCD Table Configuration

Set the maximum value for the GCD table. Use small values (≤30) for table view, larger values for heatmap visualization.

Visualization

Enter a value and click Render to see the GCD table

Details

Hover a cell to see gcd(i,j). Click a cell to pin details here.

Instructions

  • Use small N (≤30) to get an accessible HTML table (clickable & copyable).
  • For larger N, canvas is faster and renders a heatmap.
  • CSV export downloads gcd table as CSV.

How To Use

Learn about Greatest Common Divisors and explore mathematical patterns through interactive visualization

1

Set Maximum Value

Enter the maximum value N for the GCD table (2-200)

2

Choose Visualization

Select table view for small N or heatmap for larger values

3

Explore Patterns

Hover over cells to see GCD values and click to pin details

4

Export Data

Download the GCD table as CSV for further analysis

This tool creates interactive GCD tables and heatmaps that visualize the Greatest Common Divisor relationships between numbers. It helps students and researchers understand number theory concepts through visual patterns, making abstract mathematical relationships concrete and observable.

Mathematical Concepts Covered

  • Greatest Common Divisor (GCD): The largest positive integer that divides two or more integers without leaving a remainder.
  • Coprime Numbers: Two numbers are coprime if their GCD equals 1, meaning they share no common factors other than 1.
  • Euclidean Algorithm: An efficient method for computing the GCD of two numbers using repeated division.
  • Number Theory Patterns: Visual exploration of mathematical relationships and divisibility properties.
  • Matrix Visualization: Representing mathematical relationships in a structured, visual format for pattern recognition.

Educational Value

  • Visual Learning: See mathematical patterns that are difficult to understand through numbers alone.
  • Pattern Recognition: Identify relationships between numbers and their common divisors.
  • Interactive Exploration: Click and hover to explore specific GCD values and relationships.
  • Data Analysis: Export tables for further mathematical analysis and research.
  • Algorithm Understanding: Observe how the Euclidean algorithm works through visual representation.

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