GCD of 189, 868, 509 Calculator

Given Input numbers are 189, 868, 509

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 189, 868, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 868, 509 is 1.

Therefore, GCD of numbers 189, 868, 509 is 1

Given Input Data is 189, 868, 509

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 509 is 509

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(189, 868) = 23436

GCD(189, 868) = ( 189 x 868 ) / 23436

GCD(189, 868) = 164052 / 23436

GCD(189, 868) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 509

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

LCM(7, 509) = 3563

GCD(7, 509) = ( 7 x 509 ) / 3563

GCD(7, 509) = 3563 / 3563

GCD(7, 509) = 1

GCD of 189, 868, 509 is 1

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1. What is the GCD of 189, 868, 509?

GCD of 189, 868, 509 is 1

2. Where do I get the detailed procedure to find GCD of 189, 868, 509?

You can find a detailed procedure to find GCD of 189, 868, 509 on our page.

3. How to find GCD of 189, 868, 509 on a calculator?

You can find the GCD of 189, 868, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.