GCD of 109, 557, 621, 812 Calculator

Given Input numbers are 109, 557, 621, 812

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 557

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

1, 557

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Greatest Common Divisior

We found the divisors of 109, 557, 621, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 557, 621, 812 is 1.

Therefore, GCD of numbers 109, 557, 621, 812 is 1

Given Input Data is 109, 557, 621, 812

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

Prime Factorization of 109 is 109

Prime Factorization of 557 is 557

Prime Factorization of 621 is 3 x 3 x 3 x 23

Prime Factorization of 812 is 2 x 2 x 7 x 29

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(109, 557) = 60713

GCD(109, 557) = ( 109 x 557 ) / 60713

GCD(109, 557) = 60713 / 60713

GCD(109, 557) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 621

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

LCM(1, 621) = 621

GCD(1, 621) = ( 1 x 621 ) / 621

GCD(1, 621) = 621 / 621

GCD(1, 621) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 812

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

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

GCD(1, 812) = 812 / 812

GCD(1, 812) = 1

GCD of 109, 557, 621, 812 is 1

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1. What is the GCD of 109, 557, 621, 812?

GCD of 109, 557, 621, 812 is 1

2. Where do I get the detailed procedure to find GCD of 109, 557, 621, 812?

You can find a detailed procedure to find GCD of 109, 557, 621, 812 on our page.

3. How to find GCD of 109, 557, 621, 812 on a calculator?

You can find the GCD of 109, 557, 621, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.