GCD of 461, 397, 339, 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 461, 397, 339, 690 i.e. 1 largest integer that divides all the numbers equally.

GCD of 461, 397, 339, 690 is 1

GCD(461, 397, 339, 690) = 1

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

GCD of

GCD of numbers 461, 397, 339, 690 is 1

GCD(461, 397, 339, 690) = 1

GCD of 461,397,339,690 Calculator

GCDof 461,397,339,690 is 1

Given Input numbers are 461, 397, 339, 690

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

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

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 461, 397, 339, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 397, 339, 690 is 1.

Therefore, GCD of numbers 461, 397, 339, 690 is 1

Finding GCD of 461, 397, 339, 690 using Prime Factorization

Given Input Data is 461, 397, 339, 690

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

Prime Factorization of 461 is 461

Prime Factorization of 397 is 397

Prime Factorization of 339 is 3 x 113

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 461, 397, 339, 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(461, 397) = 183017

GCD(461, 397) = ( 461 x 397 ) / 183017

GCD(461, 397) = 183017 / 183017

GCD(461, 397) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 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 461, 397, 339, 690 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 461, 397, 339, 690

1. What is the GCD of 461, 397, 339, 690?

GCD of 461, 397, 339, 690 is 1


2. Where do I get the detailed procedure to find GCD of 461, 397, 339, 690?

You can find a detailed procedure to find GCD of 461, 397, 339, 690 on our page.


3. How to find GCD of 461, 397, 339, 690 on a calculator?

You can find the GCD of 461, 397, 339, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.