Screen Proportion Calculator

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Screen Proportion Calculator

Calculate aspect ratios, diagonals, and missing dimensions

Calculation Results

Aspect Ratio –
Diagonal Length –
Decimal Ratio –
Area –

Understanding Screen Proportions and Aspect Ratios

A screen proportion, commonly known as an aspect ratio, describes the proportional relationship between the width and the height of an image or screen. It is usually expressed as two numbers separated by a colon, such as 16:9.

Common Aspect Ratios

  • 16:9 (Widescreen): The standard for high-definition TV, monitors, and modern digital video.
  • 4:3 (Standard): The traditional ratio for older televisions and computer monitors (SD quality).
  • 21:9 (Ultrawide): Increasingly popular for gaming monitors and cinematic movie experiences.
  • 1:1 (Square): Frequently used in social media platforms like Instagram.
  • 9:16 (Vertical): The standard for mobile content, such as TikTok or Reels.

How the Math Works

To calculate the screen proportion from physical dimensions, we find the Greatest Common Divisor (GCD) between the width and height. For example, if a screen is 1920 pixels wide and 1080 pixels high:

  1. Find the GCD of 1920 and 1080, which is 120.
  2. Divide 1920 by 120 = 16.
  3. Divide 1080 by 120 = 9.
  4. The result is 16:9.

Calculating the Diagonal

The diagonal of a screen is calculated using the Pythagorean Theorem: a² + b² = c². If you know the width and height, you can determine the diagonal distance by taking the square root of the sum of the squared dimensions.

function calculateProportions() { var width = parseFloat(document.getElementById('screen_width').value); var height = parseFloat(document.getElementById('screen_height').value); if (isNaN(width) || isNaN(height) || width <= 0 || height <= 0) { alert("Please enter valid positive numbers for width and height."); return; } // Function to find GCD using Euclidean algorithm var getGCD = function(a, b) { return b ? getGCD(b, a % b) : a; }; var divisor = getGCD(width, height); var ratioW = width / divisor; var ratioH = height / divisor; // Diagonal calculation var diagonal = Math.sqrt(Math.pow(width, 2) + Math.pow(height, 2)); // Decimal ratio var decimalRatio = (width / height).toFixed(2); // Area var area = width * height; // Update Results document.getElementById('res_aspect_ratio').innerText = ratioW + ":" + ratioH; document.getElementById('res_diagonal').innerText = diagonal.toFixed(2); document.getElementById('res_decimal').innerText = decimalRatio + ":1"; document.getElementById('res_area').innerText = area.toLocaleString(); // Show result container document.getElementById('screen_results').style.display = 'block'; }

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