GCD of 307, 629, 297, 872 Calculator

Given Input numbers are 307, 629, 297, 872

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

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 307, 629, 297, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 629, 297, 872 is 1.

Therefore, GCD of numbers 307, 629, 297, 872 is 1

Given Input Data is 307, 629, 297, 872

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

Prime Factorization of 307 is 307

Prime Factorization of 629 is 17 x 37

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(307, 629) = 193103

GCD(307, 629) = ( 307 x 629 ) / 193103

GCD(307, 629) = 193103 / 193103

GCD(307, 629) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 307, 629, 297, 872 is 1

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1. What is the GCD of 307, 629, 297, 872?

GCD of 307, 629, 297, 872 is 1

2. Where do I get the detailed procedure to find GCD of 307, 629, 297, 872?

You can find a detailed procedure to find GCD of 307, 629, 297, 872 on our page.

3. How to find GCD of 307, 629, 297, 872 on a calculator?

You can find the GCD of 307, 629, 297, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.