GCD of 31, 304, 413, 310 Calculator

Given Input numbers are 31, 304, 413, 310

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 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 31, 304, 413, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 304, 413, 310 is 1.

Therefore, GCD of numbers 31, 304, 413, 310 is 1

Given Input Data is 31, 304, 413, 310

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

Prime Factorization of 31 is 31

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 413 is 7 x 59

Prime Factorization of 310 is 2 x 5 x 31

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, 304) = 9424

GCD(31, 304) = ( 31 x 304 ) / 9424

GCD(31, 304) = 9424 / 9424

GCD(31, 304) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

GCD of 31, 304, 413, 310 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 364, 667, 214
• GCD of 59, 123, 873, 708
• GCD of 43, 653, 496, 400
• GCD of 42, 247, 731, 830
• GCD of 91, 181, 761, 935

1. What is the GCD of 31, 304, 413, 310?

GCD of 31, 304, 413, 310 is 1

2. Where do I get the detailed procedure to find GCD of 31, 304, 413, 310?

You can find a detailed procedure to find GCD of 31, 304, 413, 310 on our page.

3. How to find GCD of 31, 304, 413, 310 on a calculator?

You can find the GCD of 31, 304, 413, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.