GCD of 789, 921, 106, 585 Calculator

Given Input numbers are 789, 921, 106, 585

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

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 789, 921, 106, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 921, 106, 585 is 1.

Therefore, GCD of numbers 789, 921, 106, 585 is 1

Given Input Data is 789, 921, 106, 585

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 921 is 3 x 307

Prime Factorization of 106 is 2 x 53

Prime Factorization of 585 is 3 x 3 x 5 x 13

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(789, 921) = 242223

GCD(789, 921) = ( 789 x 921 ) / 242223

GCD(789, 921) = 726669 / 242223

GCD(789, 921) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 106

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

LCM(3, 106) = 318

GCD(3, 106) = ( 3 x 106 ) / 318

GCD(3, 106) = 318 / 318

GCD(3, 106) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 789, 921, 106, 585 is 1

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1. What is the GCD of 789, 921, 106, 585?

GCD of 789, 921, 106, 585 is 1

2. Where do I get the detailed procedure to find GCD of 789, 921, 106, 585?

You can find a detailed procedure to find GCD of 789, 921, 106, 585 on our page.

3. How to find GCD of 789, 921, 106, 585 on a calculator?

You can find the GCD of 789, 921, 106, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.