GCD of 39, 914, 317, 638 Calculator

Given Input numbers are 39, 914, 317, 638

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Greatest Common Divisior

We found the divisors of 39, 914, 317, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 914, 317, 638 is 1.

Therefore, GCD of numbers 39, 914, 317, 638 is 1

Given Input Data is 39, 914, 317, 638

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 914 is 2 x 457

Prime Factorization of 317 is 317

Prime Factorization of 638 is 2 x 11 x 29

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(39, 914) = 35646

GCD(39, 914) = ( 39 x 914 ) / 35646

GCD(39, 914) = 35646 / 35646

GCD(39, 914) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 317

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

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

GCD(1, 317) = 317 / 317

GCD(1, 317) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 638

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

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

GCD(1, 638) = 638 / 638

GCD(1, 638) = 1

GCD of 39, 914, 317, 638 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 778, 624, 896
• GCD of 52, 153, 285, 751
• GCD of 47, 870, 667, 241
• GCD of 34, 828, 234, 784
• GCD of 52, 193, 674, 402

1. What is the GCD of 39, 914, 317, 638?

GCD of 39, 914, 317, 638 is 1

2. Where do I get the detailed procedure to find GCD of 39, 914, 317, 638?

You can find a detailed procedure to find GCD of 39, 914, 317, 638 on our page.

3. How to find GCD of 39, 914, 317, 638 on a calculator?

You can find the GCD of 39, 914, 317, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.