GCD of 579, 557, 824, 798 Calculator

Given Input numbers are 579, 557, 824, 798

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

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Greatest Common Divisior

We found the divisors of 579, 557, 824, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 579, 557, 824, 798 is 1.

Therefore, GCD of numbers 579, 557, 824, 798 is 1

Given Input Data is 579, 557, 824, 798

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

Prime Factorization of 579 is 3 x 193

Prime Factorization of 557 is 557

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 798 is 2 x 3 x 7 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(579, 557) = 322503

GCD(579, 557) = ( 579 x 557 ) / 322503

GCD(579, 557) = 322503 / 322503

GCD(579, 557) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 798

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

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

GCD(1, 798) = 798 / 798

GCD(1, 798) = 1

GCD of 579, 557, 824, 798 is 1

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1. What is the GCD of 579, 557, 824, 798?

GCD of 579, 557, 824, 798 is 1

2. Where do I get the detailed procedure to find GCD of 579, 557, 824, 798?

You can find a detailed procedure to find GCD of 579, 557, 824, 798 on our page.

3. How to find GCD of 579, 557, 824, 798 on a calculator?

You can find the GCD of 579, 557, 824, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.