GCD of 369, 674, 329, 281 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 369, 674, 329, 281 i.e. 1 largest integer that divides all the numbers equally.

GCD of 369, 674, 329, 281 is 1

GCD(369, 674, 329, 281) = 1

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

GCD of

GCD of numbers 369, 674, 329, 281 is 1

GCD(369, 674, 329, 281) = 1

GCD of 369,674,329,281 Calculator

GCDof 369,674,329,281 is 1

Given Input numbers are 369, 674, 329, 281

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Greatest Common Divisior

We found the divisors of 369, 674, 329, 281 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 674, 329, 281 is 1.

Therefore, GCD of numbers 369, 674, 329, 281 is 1

Finding GCD of 369, 674, 329, 281 using Prime Factorization

Given Input Data is 369, 674, 329, 281

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 674 is 2 x 337

Prime Factorization of 329 is 7 x 47

Prime Factorization of 281 is 281

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

Finding GCD of 369, 674, 329, 281 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(369, 674) = 248706

GCD(369, 674) = ( 369 x 674 ) / 248706

GCD(369, 674) = 248706 / 248706

GCD(369, 674) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 329

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

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

GCD(1, 329) = 329 / 329

GCD(1, 329) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 281

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

LCM(1, 281) = 281

GCD(1, 281) = ( 1 x 281 ) / 281

GCD(1, 281) = 281 / 281

GCD(1, 281) = 1

GCD of 369, 674, 329, 281 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 369, 674, 329, 281

1. What is the GCD of 369, 674, 329, 281?

GCD of 369, 674, 329, 281 is 1


2. Where do I get the detailed procedure to find GCD of 369, 674, 329, 281?

You can find a detailed procedure to find GCD of 369, 674, 329, 281 on our page.


3. How to find GCD of 369, 674, 329, 281 on a calculator?

You can find the GCD of 369, 674, 329, 281 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.