GCD of 422, 706, 955, 596 Calculator

Given Input numbers are 422, 706, 955, 596

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 596

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

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 422, 706, 955, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 706, 955, 596 is 1.

Therefore, GCD of numbers 422, 706, 955, 596 is 1

Given Input Data is 422, 706, 955, 596

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 706 is 2 x 353

Prime Factorization of 955 is 5 x 191

Prime Factorization of 596 is 2 x 2 x 149

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(422, 706) = 148966

GCD(422, 706) = ( 422 x 706 ) / 148966

GCD(422, 706) = 297932 / 148966

GCD(422, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 955

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

LCM(2, 955) = 1910

GCD(2, 955) = ( 2 x 955 ) / 1910

GCD(2, 955) = 1910 / 1910

GCD(2, 955) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

GCD of 422, 706, 955, 596 is 1

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1. What is the GCD of 422, 706, 955, 596?

GCD of 422, 706, 955, 596 is 1

2. Where do I get the detailed procedure to find GCD of 422, 706, 955, 596?

You can find a detailed procedure to find GCD of 422, 706, 955, 596 on our page.

3. How to find GCD of 422, 706, 955, 596 on a calculator?

You can find the GCD of 422, 706, 955, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.