GCD of 391, 721, 209, 819 Calculator

Given Input numbers are 391, 721, 209, 819

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

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Greatest Common Divisior

We found the divisors of 391, 721, 209, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 391, 721, 209, 819 is 1.

Therefore, GCD of numbers 391, 721, 209, 819 is 1

Given Input Data is 391, 721, 209, 819

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

Prime Factorization of 391 is 17 x 23

Prime Factorization of 721 is 7 x 103

Prime Factorization of 209 is 11 x 19

Prime Factorization of 819 is 3 x 3 x 7 x 13

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(391, 721) = 281911

GCD(391, 721) = ( 391 x 721 ) / 281911

GCD(391, 721) = 281911 / 281911

GCD(391, 721) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 819

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

LCM(1, 819) = 819

GCD(1, 819) = ( 1 x 819 ) / 819

GCD(1, 819) = 819 / 819

GCD(1, 819) = 1

GCD of 391, 721, 209, 819 is 1

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1. What is the GCD of 391, 721, 209, 819?

GCD of 391, 721, 209, 819 is 1

2. Where do I get the detailed procedure to find GCD of 391, 721, 209, 819?

You can find a detailed procedure to find GCD of 391, 721, 209, 819 on our page.

3. How to find GCD of 391, 721, 209, 819 on a calculator?

You can find the GCD of 391, 721, 209, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.