GCD of 349, 358, 322, 129 Calculator

Given Input numbers are 349, 358, 322, 129

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

Divisors of 349

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

1, 349

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

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 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Greatest Common Divisior

We found the divisors of 349, 358, 322, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 358, 322, 129 is 1.

Therefore, GCD of numbers 349, 358, 322, 129 is 1

Given Input Data is 349, 358, 322, 129

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

Prime Factorization of 349 is 349

Prime Factorization of 358 is 2 x 179

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 129 is 3 x 43

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(349, 358) = 124942

GCD(349, 358) = ( 349 x 358 ) / 124942

GCD(349, 358) = 124942 / 124942

GCD(349, 358) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 129

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

LCM(1, 129) = 129

GCD(1, 129) = ( 1 x 129 ) / 129

GCD(1, 129) = 129 / 129

GCD(1, 129) = 1

GCD of 349, 358, 322, 129 is 1

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1. What is the GCD of 349, 358, 322, 129?

GCD of 349, 358, 322, 129 is 1

2. Where do I get the detailed procedure to find GCD of 349, 358, 322, 129?

You can find a detailed procedure to find GCD of 349, 358, 322, 129 on our page.

3. How to find GCD of 349, 358, 322, 129 on a calculator?

You can find the GCD of 349, 358, 322, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.