GCD of 309, 286, 939, 351 Calculator

Given Input numbers are 309, 286, 939, 351

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 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 939

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

1, 3, 313, 939

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 309, 286, 939, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 286, 939, 351 is 1.

Therefore, GCD of numbers 309, 286, 939, 351 is 1

Given Input Data is 309, 286, 939, 351

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 939 is 3 x 313

Prime Factorization of 351 is 3 x 3 x 3 x 13

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, 286) = 88374

GCD(309, 286) = ( 309 x 286 ) / 88374

GCD(309, 286) = 88374 / 88374

GCD(309, 286) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

GCD of 309, 286, 939, 351 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 296, 779, 858, 939
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• GCD of 379, 353, 901, 464
• GCD of 238, 639, 311, 878
• GCD of 435, 481, 959, 178

1. What is the GCD of 309, 286, 939, 351?

GCD of 309, 286, 939, 351 is 1

2. Where do I get the detailed procedure to find GCD of 309, 286, 939, 351?

You can find a detailed procedure to find GCD of 309, 286, 939, 351 on our page.

3. How to find GCD of 309, 286, 939, 351 on a calculator?

You can find the GCD of 309, 286, 939, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.