GCD of 922, 231, 506, 613 Calculator

Given Input numbers are 922, 231, 506, 613

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

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Greatest Common Divisior

We found the divisors of 922, 231, 506, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 922, 231, 506, 613 is 1.

Therefore, GCD of numbers 922, 231, 506, 613 is 1

Given Input Data is 922, 231, 506, 613

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

Prime Factorization of 922 is 2 x 461

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 613 is 613

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(922, 231) = 212982

GCD(922, 231) = ( 922 x 231 ) / 212982

GCD(922, 231) = 212982 / 212982

GCD(922, 231) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 613

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

LCM(1, 613) = 613

GCD(1, 613) = ( 1 x 613 ) / 613

GCD(1, 613) = 613 / 613

GCD(1, 613) = 1

GCD of 922, 231, 506, 613 is 1

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1. What is the GCD of 922, 231, 506, 613?

GCD of 922, 231, 506, 613 is 1

2. Where do I get the detailed procedure to find GCD of 922, 231, 506, 613?

You can find a detailed procedure to find GCD of 922, 231, 506, 613 on our page.

3. How to find GCD of 922, 231, 506, 613 on a calculator?

You can find the GCD of 922, 231, 506, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.