GCD of 596, 971, 638, 861 Calculator

Given Input numbers are 596, 971, 638, 861

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

Divisors of 596

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

1, 2, 4, 149, 298, 596

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Greatest Common Divisior

We found the divisors of 596, 971, 638, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 971, 638, 861 is 1.

Therefore, GCD of numbers 596, 971, 638, 861 is 1

Given Input Data is 596, 971, 638, 861

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

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 971 is 971

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 861 is 3 x 7 x 41

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(596, 971) = 578716

GCD(596, 971) = ( 596 x 971 ) / 578716

GCD(596, 971) = 578716 / 578716

GCD(596, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 638

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

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

GCD(1, 638) = 638 / 638

GCD(1, 638) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 861

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

LCM(1, 861) = 861

GCD(1, 861) = ( 1 x 861 ) / 861

GCD(1, 861) = 861 / 861

GCD(1, 861) = 1

GCD of 596, 971, 638, 861 is 1

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1. What is the GCD of 596, 971, 638, 861?

GCD of 596, 971, 638, 861 is 1

2. Where do I get the detailed procedure to find GCD of 596, 971, 638, 861?

You can find a detailed procedure to find GCD of 596, 971, 638, 861 on our page.

3. How to find GCD of 596, 971, 638, 861 on a calculator?

You can find the GCD of 596, 971, 638, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.