GCD of 364, 673, 814 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, 673, 814 i.e. 1 largest integer that divides all the numbers equally.

GCD of 364, 673, 814 is 1

GCD(364, 673, 814) = 1

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

GCD of

GCD of numbers 364, 673, 814 is 1

GCD(364, 673, 814) = 1

GCD of 364,673,814 Calculator

GCDof 364,673,814 is 1

Given Input numbers are 364, 673, 814

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 673

List of positive integer divisors of 673 that divides 673 without a remainder.

1, 673

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 364, 673, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 673, 814 is 1.

Therefore, GCD of numbers 364, 673, 814 is 1

Finding GCD of 364, 673, 814 using Prime Factorization

Given Input Data is 364, 673, 814

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 673 is 673

Prime Factorization of 814 is 2 x 11 x 37

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

Finding GCD of 364, 673, 814 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, 673) = 244972

GCD(364, 673) = ( 364 x 673 ) / 244972

GCD(364, 673) = 244972 / 244972

GCD(364, 673) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 364, 673, 814 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 364, 673, 814

1. What is the GCD of 364, 673, 814?

GCD of 364, 673, 814 is 1


2. Where do I get the detailed procedure to find GCD of 364, 673, 814?

You can find a detailed procedure to find GCD of 364, 673, 814 on our page.


3. How to find GCD of 364, 673, 814 on a calculator?

You can find the GCD of 364, 673, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.