GCD of 789, 509, 358, 469 Calculator

Given Input numbers are 789, 509, 358, 469

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 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 789, 509, 358, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 509, 358, 469 is 1.

Therefore, GCD of numbers 789, 509, 358, 469 is 1

Given Input Data is 789, 509, 358, 469

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 509 is 509

Prime Factorization of 358 is 2 x 179

Prime Factorization of 469 is 7 x 67

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, 509) = 401601

GCD(789, 509) = ( 789 x 509 ) / 401601

GCD(789, 509) = 401601 / 401601

GCD(789, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 789, 509, 358, 469 is 1

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1. What is the GCD of 789, 509, 358, 469?

GCD of 789, 509, 358, 469 is 1

2. Where do I get the detailed procedure to find GCD of 789, 509, 358, 469?

You can find a detailed procedure to find GCD of 789, 509, 358, 469 on our page.

3. How to find GCD of 789, 509, 358, 469 on a calculator?

You can find the GCD of 789, 509, 358, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.