GCD of 789, 409, 59, 493 Calculator

Given Input numbers are 789, 409, 59, 493

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 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Greatest Common Divisior

We found the divisors of 789, 409, 59, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 409, 59, 493 is 1.

Therefore, GCD of numbers 789, 409, 59, 493 is 1

Given Input Data is 789, 409, 59, 493

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 409 is 409

Prime Factorization of 59 is 59

Prime Factorization of 493 is 17 x 29

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, 409) = 322701

GCD(789, 409) = ( 789 x 409 ) / 322701

GCD(789, 409) = 322701 / 322701

GCD(789, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 493

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

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

GCD(1, 493) = 493 / 493

GCD(1, 493) = 1

GCD of 789, 409, 59, 493 is 1

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1. What is the GCD of 789, 409, 59, 493?

GCD of 789, 409, 59, 493 is 1

2. Where do I get the detailed procedure to find GCD of 789, 409, 59, 493?

You can find a detailed procedure to find GCD of 789, 409, 59, 493 on our page.

3. How to find GCD of 789, 409, 59, 493 on a calculator?

You can find the GCD of 789, 409, 59, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.