GCD of 578, 131, 694, 812 Calculator

Given Input numbers are 578, 131, 694, 812

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

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

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 578, 131, 694, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 131, 694, 812 is 1.

Therefore, GCD of numbers 578, 131, 694, 812 is 1

Given Input Data is 578, 131, 694, 812

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

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 131 is 131

Prime Factorization of 694 is 2 x 347

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(578, 131) = 75718

GCD(578, 131) = ( 578 x 131 ) / 75718

GCD(578, 131) = 75718 / 75718

GCD(578, 131) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 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 578, 131, 694, 812 is 1

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1. What is the GCD of 578, 131, 694, 812?

GCD of 578, 131, 694, 812 is 1

2. Where do I get the detailed procedure to find GCD of 578, 131, 694, 812?

You can find a detailed procedure to find GCD of 578, 131, 694, 812 on our page.

3. How to find GCD of 578, 131, 694, 812 on a calculator?

You can find the GCD of 578, 131, 694, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.