GCD of 596, 421, 923, 692 Calculator

Given Input numbers are 596, 421, 923, 692

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 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 596, 421, 923, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 421, 923, 692 is 1.

Therefore, GCD of numbers 596, 421, 923, 692 is 1

Given Input Data is 596, 421, 923, 692

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 421 is 421

Prime Factorization of 923 is 13 x 71

Prime Factorization of 692 is 2 x 2 x 173

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, 421) = 250916

GCD(596, 421) = ( 596 x 421 ) / 250916

GCD(596, 421) = 250916 / 250916

GCD(596, 421) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 923

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

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

GCD(1, 923) = 923 / 923

GCD(1, 923) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 692

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

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

GCD(1, 692) = 692 / 692

GCD(1, 692) = 1

GCD of 596, 421, 923, 692 is 1

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1. What is the GCD of 596, 421, 923, 692?

GCD of 596, 421, 923, 692 is 1

2. Where do I get the detailed procedure to find GCD of 596, 421, 923, 692?

You can find a detailed procedure to find GCD of 596, 421, 923, 692 on our page.

3. How to find GCD of 596, 421, 923, 692 on a calculator?

You can find the GCD of 596, 421, 923, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.