GCD of 567, 369, 930, 923 Calculator

Given Input numbers are 567, 369, 930, 923

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

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 923

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

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 567, 369, 930, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 369, 930, 923 is 1.

Therefore, GCD of numbers 567, 369, 930, 923 is 1

Given Input Data is 567, 369, 930, 923

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

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 923 is 13 x 71

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(567, 369) = 23247

GCD(567, 369) = ( 567 x 369 ) / 23247

GCD(567, 369) = 209223 / 23247

GCD(567, 369) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 930

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

LCM(9, 930) = 2790

GCD(9, 930) = ( 9 x 930 ) / 2790

GCD(9, 930) = 8370 / 2790

GCD(9, 930) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 923

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

LCM(3, 923) = 2769

GCD(3, 923) = ( 3 x 923 ) / 2769

GCD(3, 923) = 2769 / 2769

GCD(3, 923) = 1

GCD of 567, 369, 930, 923 is 1

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1. What is the GCD of 567, 369, 930, 923?

GCD of 567, 369, 930, 923 is 1

2. Where do I get the detailed procedure to find GCD of 567, 369, 930, 923?

You can find a detailed procedure to find GCD of 567, 369, 930, 923 on our page.

3. How to find GCD of 567, 369, 930, 923 on a calculator?

You can find the GCD of 567, 369, 930, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.