GCD of 195, 519, 269, 389 Calculator

Given Input numbers are 195, 519, 269, 389

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

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Greatest Common Divisior

We found the divisors of 195, 519, 269, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 519, 269, 389 is 1.

Therefore, GCD of numbers 195, 519, 269, 389 is 1

Given Input Data is 195, 519, 269, 389

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

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 519 is 3 x 173

Prime Factorization of 269 is 269

Prime Factorization of 389 is 389

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(195, 519) = 33735

GCD(195, 519) = ( 195 x 519 ) / 33735

GCD(195, 519) = 101205 / 33735

GCD(195, 519) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 269

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

LCM(3, 269) = 807

GCD(3, 269) = ( 3 x 269 ) / 807

GCD(3, 269) = 807 / 807

GCD(3, 269) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 389

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

LCM(1, 389) = 389

GCD(1, 389) = ( 1 x 389 ) / 389

GCD(1, 389) = 389 / 389

GCD(1, 389) = 1

GCD of 195, 519, 269, 389 is 1

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1. What is the GCD of 195, 519, 269, 389?

GCD of 195, 519, 269, 389 is 1

2. Where do I get the detailed procedure to find GCD of 195, 519, 269, 389?

You can find a detailed procedure to find GCD of 195, 519, 269, 389 on our page.

3. How to find GCD of 195, 519, 269, 389 on a calculator?

You can find the GCD of 195, 519, 269, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.