GCD of 31, 953, 102, 909 Calculator

Given Input numbers are 31, 953, 102, 909

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 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 31, 953, 102, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 953, 102, 909 is 1.

Therefore, GCD of numbers 31, 953, 102, 909 is 1

Given Input Data is 31, 953, 102, 909

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

Prime Factorization of 31 is 31

Prime Factorization of 953 is 953

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 909 is 3 x 3 x 101

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, 953) = 29543

GCD(31, 953) = ( 31 x 953 ) / 29543

GCD(31, 953) = 29543 / 29543

GCD(31, 953) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 102

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

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

GCD(1, 102) = 102 / 102

GCD(1, 102) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

GCD of 31, 953, 102, 909 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 75, 884, 821, 798
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• GCD of 97, 811, 976, 324
• GCD of 24, 881, 328, 978
• GCD of 39, 390, 906, 217

1. What is the GCD of 31, 953, 102, 909?

GCD of 31, 953, 102, 909 is 1

2. Where do I get the detailed procedure to find GCD of 31, 953, 102, 909?

You can find a detailed procedure to find GCD of 31, 953, 102, 909 on our page.

3. How to find GCD of 31, 953, 102, 909 on a calculator?

You can find the GCD of 31, 953, 102, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.