GCD of 380, 206, 319, 591 Calculator

Given Input numbers are 380, 206, 319, 591

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Greatest Common Divisior

We found the divisors of 380, 206, 319, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 206, 319, 591 is 1.

Therefore, GCD of numbers 380, 206, 319, 591 is 1

Given Input Data is 380, 206, 319, 591

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 206 is 2 x 103

Prime Factorization of 319 is 11 x 29

Prime Factorization of 591 is 3 x 197

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(380, 206) = 39140

GCD(380, 206) = ( 380 x 206 ) / 39140

GCD(380, 206) = 78280 / 39140

GCD(380, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 319

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

LCM(2, 319) = 638

GCD(2, 319) = ( 2 x 319 ) / 638

GCD(2, 319) = 638 / 638

GCD(2, 319) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 591

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

LCM(1, 591) = 591

GCD(1, 591) = ( 1 x 591 ) / 591

GCD(1, 591) = 591 / 591

GCD(1, 591) = 1

GCD of 380, 206, 319, 591 is 1

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1. What is the GCD of 380, 206, 319, 591?

GCD of 380, 206, 319, 591 is 1

2. Where do I get the detailed procedure to find GCD of 380, 206, 319, 591?

You can find a detailed procedure to find GCD of 380, 206, 319, 591 on our page.

3. How to find GCD of 380, 206, 319, 591 on a calculator?

You can find the GCD of 380, 206, 319, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.