GCD of 468, 789, 53, 829 Calculator

Given Input numbers are 468, 789, 53, 829

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 789

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

1, 3, 263, 789

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 468, 789, 53, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 789, 53, 829 is 1.

Therefore, GCD of numbers 468, 789, 53, 829 is 1

Given Input Data is 468, 789, 53, 829

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 789 is 3 x 263

Prime Factorization of 53 is 53

Prime Factorization of 829 is 829

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(468, 789) = 123084

GCD(468, 789) = ( 468 x 789 ) / 123084

GCD(468, 789) = 369252 / 123084

GCD(468, 789) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 53

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

LCM(3, 53) = 159

GCD(3, 53) = ( 3 x 53 ) / 159

GCD(3, 53) = 159 / 159

GCD(3, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

GCD of 468, 789, 53, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 288, 387, 97, 611
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• GCD of 181, 927, 44, 383

1. What is the GCD of 468, 789, 53, 829?

GCD of 468, 789, 53, 829 is 1

2. Where do I get the detailed procedure to find GCD of 468, 789, 53, 829?

You can find a detailed procedure to find GCD of 468, 789, 53, 829 on our page.

3. How to find GCD of 468, 789, 53, 829 on a calculator?

You can find the GCD of 468, 789, 53, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.