Our GCD & LCM Calculator allows you to find the greatest common divisor and least common multiple of two or more numbers quickly and accurately. Enter your numbers to calculate GCD, LCM, and understand the relationship between them. Ideal for students, teachers, and anyone solving math problems related to divisibility.
A GCD & LCM Calculator helps you find the Greatest Common Divisor (GCD) and the Least Common Multiple (LCM) of two or more numbers. It’s useful in simplifying fractions, solving math problems, and understanding number relationships.
The GCD, also known as the HCF (Highest Common Factor), is the largest number that divides two or more numbers without leaving a remainder.
Example: GCD of 12 and 18 is 6.
The LCM is the smallest positive number that is a multiple of two or more numbers.
Example: LCM of 4 and 5 is 20.
You can find the GCD using:
Once you know the GCD, you can find the LCM using this formula:
LCM(a, b) × GCD(a, b) = a × b
Yes, most advanced calculators can find GCD and LCM for two or more numbers at once. Just enter the numbers separated by commas.
They are widely used in:
GCD(0, n) is n (because any number divides 0).
LCM(0, n) is 0 (because 0 has no multiples).
No, GCD and LCM are defined only for positive integers. You can convert decimals to integers before calculating.
Yes, except when both numbers are equal, where GCD = LCM = the number itself.