GCD and LCM Calculator

Calculate GCD & LCM. View Steps

Key Features:

1) GCD Calculation:

• Uses Euclidean algorithm
• Shows each division step with remainders
• Displays intermediate number pairs

2) LCM Calculation:

• Uses formula: LCM(a, b) = (a × b) / GCD(a, b)
• Shows full formula application

3) Mathematical Formulas:

Euclidean Algorithm:

• GCD(a, b) = GCD(b, a mod b)
• Repeat until b = 0, then GCD = a

LCM Formula:

• LCM(a, b) = (a × b) / GCD(a, b)

How To Use GCD and LCM Calculator:

1. Enter two numbers in input fields
2. Click "Calculate" to see results
3. Review detailed calculation steps below
4. Works for numbers up to 10 digits

Example: GCD(48, 18)

GCD Calculation Process:

• Step 1: 48 ÷ 18 = 2 (remainder 12)
• Step 2: 18 ÷ 12 = 1 (remainder 6)
• Step 3: 12 ÷ 6 = 2 (remainder 0)
• GCD = 6

LCM Calculation Process:

• LCM(48, 18) = (48 × 18) / 6 = 144