GCD of 130, 307, 200, 939 Calculator

Given Input numbers are 130, 307, 200, 939

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

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 307

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

1, 307

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Greatest Common Divisior

We found the divisors of 130, 307, 200, 939 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 307, 200, 939 is 1.

Therefore, GCD of numbers 130, 307, 200, 939 is 1

Given Input Data is 130, 307, 200, 939

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 307 is 307

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 939 is 3 x 313

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(130, 307) = 39910

GCD(130, 307) = ( 130 x 307 ) / 39910

GCD(130, 307) = 39910 / 39910

GCD(130, 307) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 939

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

LCM(1, 939) = 939

GCD(1, 939) = ( 1 x 939 ) / 939

GCD(1, 939) = 939 / 939

GCD(1, 939) = 1

GCD of 130, 307, 200, 939 is 1

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1. What is the GCD of 130, 307, 200, 939?

GCD of 130, 307, 200, 939 is 1

2. Where do I get the detailed procedure to find GCD of 130, 307, 200, 939?

You can find a detailed procedure to find GCD of 130, 307, 200, 939 on our page.

3. How to find GCD of 130, 307, 200, 939 on a calculator?

You can find the GCD of 130, 307, 200, 939 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.