GCD of 322, 459, 868, 349 Calculator

Given Input numbers are 322, 459, 868, 349

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 322, 459, 868, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 459, 868, 349 is 1.

Therefore, GCD of numbers 322, 459, 868, 349 is 1

Given Input Data is 322, 459, 868, 349

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 349 is 349

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(322, 459) = 147798

GCD(322, 459) = ( 322 x 459 ) / 147798

GCD(322, 459) = 147798 / 147798

GCD(322, 459) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 868

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

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

GCD(1, 868) = 868 / 868

GCD(1, 868) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 322, 459, 868, 349 is 1

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1. What is the GCD of 322, 459, 868, 349?

GCD of 322, 459, 868, 349 is 1

2. Where do I get the detailed procedure to find GCD of 322, 459, 868, 349?

You can find a detailed procedure to find GCD of 322, 459, 868, 349 on our page.

3. How to find GCD of 322, 459, 868, 349 on a calculator?

You can find the GCD of 322, 459, 868, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.