GCD of 31, 923, 367, 289 Calculator

Given Input numbers are 31, 923, 367, 289

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 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 31, 923, 367, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 923, 367, 289 is 1.

Therefore, GCD of numbers 31, 923, 367, 289 is 1

Given Input Data is 31, 923, 367, 289

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

Prime Factorization of 31 is 31

Prime Factorization of 923 is 13 x 71

Prime Factorization of 367 is 367

Prime Factorization of 289 is 17 x 17

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, 923) = 28613

GCD(31, 923) = ( 31 x 923 ) / 28613

GCD(31, 923) = 28613 / 28613

GCD(31, 923) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 367

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

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

GCD(1, 367) = 367 / 367

GCD(1, 367) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 31, 923, 367, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 208, 226, 721
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• GCD of 32, 478, 910, 156
• GCD of 84, 320, 916, 592
• GCD of 55, 217, 612, 745

1. What is the GCD of 31, 923, 367, 289?

GCD of 31, 923, 367, 289 is 1

2. Where do I get the detailed procedure to find GCD of 31, 923, 367, 289?

You can find a detailed procedure to find GCD of 31, 923, 367, 289 on our page.

3. How to find GCD of 31, 923, 367, 289 on a calculator?

You can find the GCD of 31, 923, 367, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.