GCD of 65, 299, 271, 129 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 65, 299, 271, 129 i.e. 1 largest integer that divides all the numbers equally.

GCD of 65, 299, 271, 129 is 1

GCD(65, 299, 271, 129) = 1

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

GCD of

GCD of numbers 65, 299, 271, 129 is 1

GCD(65, 299, 271, 129) = 1

GCD of 65,299,271,129 Calculator

GCDof 65,299,271,129 is 1

Given Input numbers are 65, 299, 271, 129

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Greatest Common Divisior

We found the divisors of 65, 299, 271, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 299, 271, 129 is 1.

Therefore, GCD of numbers 65, 299, 271, 129 is 1

Finding GCD of 65, 299, 271, 129 using Prime Factorization

Given Input Data is 65, 299, 271, 129

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 299 is 13 x 23

Prime Factorization of 271 is 271

Prime Factorization of 129 is 3 x 43

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

Finding GCD of 65, 299, 271, 129 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(65, 299) = 1495

GCD(65, 299) = ( 65 x 299 ) / 1495

GCD(65, 299) = 19435 / 1495

GCD(65, 299) = 13


Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 271

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

LCM(13, 271) = 3523

GCD(13, 271) = ( 13 x 271 ) / 3523

GCD(13, 271) = 3523 / 3523

GCD(13, 271) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 129

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

LCM(1, 129) = 129

GCD(1, 129) = ( 1 x 129 ) / 129

GCD(1, 129) = 129 / 129

GCD(1, 129) = 1

GCD of 65, 299, 271, 129 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 65, 299, 271, 129

1. What is the GCD of 65, 299, 271, 129?

GCD of 65, 299, 271, 129 is 1


2. Where do I get the detailed procedure to find GCD of 65, 299, 271, 129?

You can find a detailed procedure to find GCD of 65, 299, 271, 129 on our page.


3. How to find GCD of 65, 299, 271, 129 on a calculator?

You can find the GCD of 65, 299, 271, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.