GCD of 34, 306, 129, 368 Calculator

Given Input numbers are 34, 306, 129, 368

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 129

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

1, 3, 43, 129

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 34, 306, 129, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 306, 129, 368 is 1.

Therefore, GCD of numbers 34, 306, 129, 368 is 1

Given Input Data is 34, 306, 129, 368

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 129 is 3 x 43

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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(34, 306) = 306

GCD(34, 306) = ( 34 x 306 ) / 306

GCD(34, 306) = 10404 / 306

GCD(34, 306) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 129

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

LCM(34, 129) = 4386

GCD(34, 129) = ( 34 x 129 ) / 4386

GCD(34, 129) = 4386 / 4386

GCD(34, 129) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

GCD of 34, 306, 129, 368 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 764, 385, 904
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• GCD of 74, 111, 426, 825

1. What is the GCD of 34, 306, 129, 368?

GCD of 34, 306, 129, 368 is 1

2. Where do I get the detailed procedure to find GCD of 34, 306, 129, 368?

You can find a detailed procedure to find GCD of 34, 306, 129, 368 on our page.

3. How to find GCD of 34, 306, 129, 368 on a calculator?

You can find the GCD of 34, 306, 129, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.