GCD of 364, 221, 95, 334 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, 221, 95, 334 i.e. 1 largest integer that divides all the numbers equally.

GCD of 364, 221, 95, 334 is 1

GCD(364, 221, 95, 334) = 1

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

GCD of

GCD of numbers 364, 221, 95, 334 is 1

GCD(364, 221, 95, 334) = 1

GCD of 364,221,95,334 Calculator

GCDof 364,221,95,334 is 1

Given Input numbers are 364, 221, 95, 334

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 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 364, 221, 95, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 221, 95, 334 is 1.

Therefore, GCD of numbers 364, 221, 95, 334 is 1

Finding GCD of 364, 221, 95, 334 using Prime Factorization

Given Input Data is 364, 221, 95, 334

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 221 is 13 x 17

Prime Factorization of 95 is 5 x 19

Prime Factorization of 334 is 2 x 167

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

Finding GCD of 364, 221, 95, 334 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, 221) = 6188

GCD(364, 221) = ( 364 x 221 ) / 6188

GCD(364, 221) = 80444 / 6188

GCD(364, 221) = 13


Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 95

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

LCM(13, 95) = 1235

GCD(13, 95) = ( 13 x 95 ) / 1235

GCD(13, 95) = 1235 / 1235

GCD(13, 95) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 334

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

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

GCD(1, 334) = 334 / 334

GCD(1, 334) = 1

GCD of 364, 221, 95, 334 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 364, 221, 95, 334

1. What is the GCD of 364, 221, 95, 334?

GCD of 364, 221, 95, 334 is 1


2. Where do I get the detailed procedure to find GCD of 364, 221, 95, 334?

You can find a detailed procedure to find GCD of 364, 221, 95, 334 on our page.


3. How to find GCD of 364, 221, 95, 334 on a calculator?

You can find the GCD of 364, 221, 95, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.