GCD of 31, 925, 318, 309 Calculator

Given Input numbers are 31, 925, 318, 309

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 309

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

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 31, 925, 318, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 925, 318, 309 is 1.

Therefore, GCD of numbers 31, 925, 318, 309 is 1

Given Input Data is 31, 925, 318, 309

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

Prime Factorization of 31 is 31

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 309 is 3 x 103

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(31, 925) = 28675

GCD(31, 925) = ( 31 x 925 ) / 28675

GCD(31, 925) = 28675 / 28675

GCD(31, 925) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 31, 925, 318, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 289, 589, 991
• GCD of 52, 767, 190, 503
• GCD of 81, 249, 806, 121
• GCD of 27, 635, 667, 401
• GCD of 62, 511, 554, 220

1. What is the GCD of 31, 925, 318, 309?

GCD of 31, 925, 318, 309 is 1

2. Where do I get the detailed procedure to find GCD of 31, 925, 318, 309?

You can find a detailed procedure to find GCD of 31, 925, 318, 309 on our page.

3. How to find GCD of 31, 925, 318, 309 on a calculator?

You can find the GCD of 31, 925, 318, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.