GCD of 364, 322, 421, 607 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 364, 322, 421, 607 i.e. 1 largest integer that divides all the numbers equally.

GCD of 364, 322, 421, 607 is 1

GCD(364, 322, 421, 607) = 1

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

GCD of

GCD of numbers 364, 322, 421, 607 is 1

GCD(364, 322, 421, 607) = 1

GCD of 364,322,421,607 Calculator

GCDof 364,322,421,607 is 1

Given Input numbers are 364, 322, 421, 607

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Greatest Common Divisior

We found the divisors of 364, 322, 421, 607 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 322, 421, 607 is 1.

Therefore, GCD of numbers 364, 322, 421, 607 is 1

Finding GCD of 364, 322, 421, 607 using Prime Factorization

Given Input Data is 364, 322, 421, 607

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 421 is 421

Prime Factorization of 607 is 607

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

Finding GCD of 364, 322, 421, 607 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(364, 322) = 8372

GCD(364, 322) = ( 364 x 322 ) / 8372

GCD(364, 322) = 117208 / 8372

GCD(364, 322) = 14


Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 421

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

LCM(14, 421) = 5894

GCD(14, 421) = ( 14 x 421 ) / 5894

GCD(14, 421) = 5894 / 5894

GCD(14, 421) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 607

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

LCM(1, 607) = 607

GCD(1, 607) = ( 1 x 607 ) / 607

GCD(1, 607) = 607 / 607

GCD(1, 607) = 1

GCD of 364, 322, 421, 607 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 364, 322, 421, 607

1. What is the GCD of 364, 322, 421, 607?

GCD of 364, 322, 421, 607 is 1


2. Where do I get the detailed procedure to find GCD of 364, 322, 421, 607?

You can find a detailed procedure to find GCD of 364, 322, 421, 607 on our page.


3. How to find GCD of 364, 322, 421, 607 on a calculator?

You can find the GCD of 364, 322, 421, 607 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.