GCD Calculator
Find the greatest common divisor (GCD) of two or more numbers.
How to Calculate the GCD
- List Method: List all divisors of each number and find the largest one in common.
- Euclidean Algorithm: Repeatedly subtract the smaller number from the larger or use division and remainder until the remainder is zero.
Example: The GCD of 24, 36, and 60 is 12.
How to Build Skills with GCD Calculations
- Practice with Different Sets: Try finding the GCD of pairs and groups of numbers.
- Use for Simplifying Fractions: Divide numerator and denominator by their GCD to simplify.
- Apply in Real Life: Use GCD for dividing things into equal parts, scheduling, or cryptography.
- Understand the Euclidean Algorithm: Learn the step-by-step process for efficient calculation.
Example: GCD of 48 and 18: 48 ÷ 18 = 2 remainder 12, 18 ÷ 12 = 1 remainder 6, 12 ÷ 6 = 2 remainder 0, so GCD is 6.
Frequently Asked Questions
The GCD (greatest common divisor) is the largest number that divides two or more numbers without leaving a remainder.
To calculate the GCD, list all divisors of each number and find the largest one they have in common, or use the Euclidean algorithm.
The GCD is used in simplifying fractions, number theory, cryptography, and solving mathematical problems involving divisibility.