GCD of 309, 939, 311, 532 Calculator

Given Input numbers are 309, 939, 311, 532

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 939

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

1, 3, 313, 939

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Greatest Common Divisior

We found the divisors of 309, 939, 311, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 939, 311, 532 is 1.

Therefore, GCD of numbers 309, 939, 311, 532 is 1

Given Input Data is 309, 939, 311, 532

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 939 is 3 x 313

Prime Factorization of 311 is 311

Prime Factorization of 532 is 2 x 2 x 7 x 19

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(309, 939) = 96717

GCD(309, 939) = ( 309 x 939 ) / 96717

GCD(309, 939) = 290151 / 96717

GCD(309, 939) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 311

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

LCM(3, 311) = 933

GCD(3, 311) = ( 3 x 311 ) / 933

GCD(3, 311) = 933 / 933

GCD(3, 311) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 532

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

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

GCD(1, 532) = 532 / 532

GCD(1, 532) = 1

GCD of 309, 939, 311, 532 is 1

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1. What is the GCD of 309, 939, 311, 532?

GCD of 309, 939, 311, 532 is 1

2. Where do I get the detailed procedure to find GCD of 309, 939, 311, 532?

You can find a detailed procedure to find GCD of 309, 939, 311, 532 on our page.

3. How to find GCD of 309, 939, 311, 532 on a calculator?

You can find the GCD of 309, 939, 311, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.