GCD of 679, 596, 284, 361 Calculator

Given Input numbers are 679, 596, 284, 361

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

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 679, 596, 284, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 679, 596, 284, 361 is 1.

Therefore, GCD of numbers 679, 596, 284, 361 is 1

Given Input Data is 679, 596, 284, 361

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

Prime Factorization of 679 is 7 x 97

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 361 is 19 x 19

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(679, 596) = 404684

GCD(679, 596) = ( 679 x 596 ) / 404684

GCD(679, 596) = 404684 / 404684

GCD(679, 596) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 679, 596, 284, 361 is 1

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1. What is the GCD of 679, 596, 284, 361?

GCD of 679, 596, 284, 361 is 1

2. Where do I get the detailed procedure to find GCD of 679, 596, 284, 361?

You can find a detailed procedure to find GCD of 679, 596, 284, 361 on our page.

3. How to find GCD of 679, 596, 284, 361 on a calculator?

You can find the GCD of 679, 596, 284, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.