GCD of 596, 807, 20, 852 Calculator

Given Input numbers are 596, 807, 20, 852

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 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 596, 807, 20, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 807, 20, 852 is 1.

Therefore, GCD of numbers 596, 807, 20, 852 is 1

Given Input Data is 596, 807, 20, 852

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 807 is 3 x 269

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 852 is 2 x 2 x 3 x 71

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, 807) = 480972

GCD(596, 807) = ( 596 x 807 ) / 480972

GCD(596, 807) = 480972 / 480972

GCD(596, 807) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

GCD of 596, 807, 20, 852 is 1

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1. What is the GCD of 596, 807, 20, 852?

GCD of 596, 807, 20, 852 is 1

2. Where do I get the detailed procedure to find GCD of 596, 807, 20, 852?

You can find a detailed procedure to find GCD of 596, 807, 20, 852 on our page.

3. How to find GCD of 596, 807, 20, 852 on a calculator?

You can find the GCD of 596, 807, 20, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.