GCD of 831, 404, 676, 899 Calculator

Given Input numbers are 831, 404, 676, 899

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

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 831, 404, 676, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 404, 676, 899 is 1.

Therefore, GCD of numbers 831, 404, 676, 899 is 1

Given Input Data is 831, 404, 676, 899

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 899 is 29 x 31

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(831, 404) = 335724

GCD(831, 404) = ( 831 x 404 ) / 335724

GCD(831, 404) = 335724 / 335724

GCD(831, 404) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

GCD of 831, 404, 676, 899 is 1

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1. What is the GCD of 831, 404, 676, 899?

GCD of 831, 404, 676, 899 is 1

2. Where do I get the detailed procedure to find GCD of 831, 404, 676, 899?

You can find a detailed procedure to find GCD of 831, 404, 676, 899 on our page.

3. How to find GCD of 831, 404, 676, 899 on a calculator?

You can find the GCD of 831, 404, 676, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.