GCD of 839, 974, 34, 129 Calculator

Given Input numbers are 839, 974, 34, 129

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

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 34

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

1, 2, 17, 34

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 839, 974, 34, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 839, 974, 34, 129 is 1.

Therefore, GCD of numbers 839, 974, 34, 129 is 1

Given Input Data is 839, 974, 34, 129

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

Prime Factorization of 839 is 839

Prime Factorization of 974 is 2 x 487

Prime Factorization of 34 is 2 x 17

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(839, 974) = 817186

GCD(839, 974) = ( 839 x 974 ) / 817186

GCD(839, 974) = 817186 / 817186

GCD(839, 974) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 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 839, 974, 34, 129 is 1

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1. What is the GCD of 839, 974, 34, 129?

GCD of 839, 974, 34, 129 is 1

2. Where do I get the detailed procedure to find GCD of 839, 974, 34, 129?

You can find a detailed procedure to find GCD of 839, 974, 34, 129 on our page.

3. How to find GCD of 839, 974, 34, 129 on a calculator?

You can find the GCD of 839, 974, 34, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.