GCD of 422, 747, 658, 129 Calculator

Given Input numbers are 422, 747, 658, 129

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

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 422, 747, 658, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 747, 658, 129 is 1.

Therefore, GCD of numbers 422, 747, 658, 129 is 1

Given Input Data is 422, 747, 658, 129

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 658 is 2 x 7 x 47

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(422, 747) = 315234

GCD(422, 747) = ( 422 x 747 ) / 315234

GCD(422, 747) = 315234 / 315234

GCD(422, 747) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 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 422, 747, 658, 129 is 1

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1. What is the GCD of 422, 747, 658, 129?

GCD of 422, 747, 658, 129 is 1

2. Where do I get the detailed procedure to find GCD of 422, 747, 658, 129?

You can find a detailed procedure to find GCD of 422, 747, 658, 129 on our page.

3. How to find GCD of 422, 747, 658, 129 on a calculator?

You can find the GCD of 422, 747, 658, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.