GCD of 323, 779, 49, 854 Calculator

Given Input numbers are 323, 779, 49, 854

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

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 323, 779, 49, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 779, 49, 854 is 1.

Therefore, GCD of numbers 323, 779, 49, 854 is 1

Given Input Data is 323, 779, 49, 854

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

Prime Factorization of 323 is 17 x 19

Prime Factorization of 779 is 19 x 41

Prime Factorization of 49 is 7 x 7

Prime Factorization of 854 is 2 x 7 x 61

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(323, 779) = 13243

GCD(323, 779) = ( 323 x 779 ) / 13243

GCD(323, 779) = 251617 / 13243

GCD(323, 779) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 49

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

LCM(19, 49) = 931

GCD(19, 49) = ( 19 x 49 ) / 931

GCD(19, 49) = 931 / 931

GCD(19, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

GCD of 323, 779, 49, 854 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 758, 53, 832
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• GCD of 509, 428, 27, 779

1. What is the GCD of 323, 779, 49, 854?

GCD of 323, 779, 49, 854 is 1

2. Where do I get the detailed procedure to find GCD of 323, 779, 49, 854?

You can find a detailed procedure to find GCD of 323, 779, 49, 854 on our page.

3. How to find GCD of 323, 779, 49, 854 on a calculator?

You can find the GCD of 323, 779, 49, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.