GCD of 920, 963, 31, 412 Calculator

Given Input numbers are 920, 963, 31, 412

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 31

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

1, 31

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 920, 963, 31, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 963, 31, 412 is 1.

Therefore, GCD of numbers 920, 963, 31, 412 is 1

Given Input Data is 920, 963, 31, 412

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 31 is 31

Prime Factorization of 412 is 2 x 2 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(920, 963) = 885960

GCD(920, 963) = ( 920 x 963 ) / 885960

GCD(920, 963) = 885960 / 885960

GCD(920, 963) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 920, 963, 31, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 760, 465, 86, 666
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• GCD of 609, 129, 70, 843

1. What is the GCD of 920, 963, 31, 412?

GCD of 920, 963, 31, 412 is 1

2. Where do I get the detailed procedure to find GCD of 920, 963, 31, 412?

You can find a detailed procedure to find GCD of 920, 963, 31, 412 on our page.

3. How to find GCD of 920, 963, 31, 412 on a calculator?

You can find the GCD of 920, 963, 31, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.