GCD of 346, 789, 409, 690 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 346, 789, 409, 690 i.e. 1 largest integer that divides all the numbers equally.

GCD of 346, 789, 409, 690 is 1

GCD(346, 789, 409, 690) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 346, 789, 409, 690 is 1

GCD(346, 789, 409, 690) = 1

GCD of 346,789,409,690 Calculator

GCDof 346,789,409,690 is 1

Given Input numbers are 346, 789, 409, 690

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

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

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 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 346, 789, 409, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 789, 409, 690 is 1.

Therefore, GCD of numbers 346, 789, 409, 690 is 1

Finding GCD of 346, 789, 409, 690 using Prime Factorization

Given Input Data is 346, 789, 409, 690

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 789 is 3 x 263

Prime Factorization of 409 is 409

Prime Factorization of 690 is 2 x 3 x 5 x 23

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 346, 789, 409, 690 using LCM Formula

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(346, 789) = 272994

GCD(346, 789) = ( 346 x 789 ) / 272994

GCD(346, 789) = 272994 / 272994

GCD(346, 789) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 346, 789, 409, 690 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 346, 789, 409, 690

1. What is the GCD of 346, 789, 409, 690?

GCD of 346, 789, 409, 690 is 1


2. Where do I get the detailed procedure to find GCD of 346, 789, 409, 690?

You can find a detailed procedure to find GCD of 346, 789, 409, 690 on our page.


3. How to find GCD of 346, 789, 409, 690 on a calculator?

You can find the GCD of 346, 789, 409, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.