GCD of 186, 504, 421 Calculator

Given Input numbers are 186, 504, 421

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 186, 504, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 186, 504, 421 is 1.

Therefore, GCD of numbers 186, 504, 421 is 1

Given Input Data is 186, 504, 421

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 421 is 421

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(186, 504) = 15624

GCD(186, 504) = ( 186 x 504 ) / 15624

GCD(186, 504) = 93744 / 15624

GCD(186, 504) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 421

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(6, 421) = 2526

GCD(6, 421) = ( 6 x 421 ) / 2526

GCD(6, 421) = 2526 / 2526

GCD(6, 421) = 1

GCD of 186, 504, 421 is 1

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1. What is the GCD of 186, 504, 421?

GCD of 186, 504, 421 is 1

2. Where do I get the detailed procedure to find GCD of 186, 504, 421?

You can find a detailed procedure to find GCD of 186, 504, 421 on our page.

3. How to find GCD of 186, 504, 421 on a calculator?

You can find the GCD of 186, 504, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.