GCD of 621, 783, 138, 923 Calculator

Given Input numbers are 621, 783, 138, 923

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

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

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 621, 783, 138, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 621, 783, 138, 923 is 1.

Therefore, GCD of numbers 621, 783, 138, 923 is 1

Given Input Data is 621, 783, 138, 923

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

Prime Factorization of 621 is 3 x 3 x 3 x 23

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 138 is 2 x 3 x 23

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(621, 783) = 18009

GCD(621, 783) = ( 621 x 783 ) / 18009

GCD(621, 783) = 486243 / 18009

GCD(621, 783) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 138

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

LCM(27, 138) = 1242

GCD(27, 138) = ( 27 x 138 ) / 1242

GCD(27, 138) = 3726 / 1242

GCD(27, 138) = 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 621, 783, 138, 923 is 1

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1. What is the GCD of 621, 783, 138, 923?

GCD of 621, 783, 138, 923 is 1

2. Where do I get the detailed procedure to find GCD of 621, 783, 138, 923?

You can find a detailed procedure to find GCD of 621, 783, 138, 923 on our page.

3. How to find GCD of 621, 783, 138, 923 on a calculator?

You can find the GCD of 621, 783, 138, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.