GCD of 271, 538, 98, 764 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 271, 538, 98, 764 i.e. 1 largest integer that divides all the numbers equally.

GCD of 271, 538, 98, 764 is 1

GCD(271, 538, 98, 764) = 1

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

GCD of

GCD of numbers 271, 538, 98, 764 is 1

GCD(271, 538, 98, 764) = 1

GCD of 271,538,98,764 Calculator

GCDof 271,538,98,764 is 1

Given Input numbers are 271, 538, 98, 764

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

Divisors of 271

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

1, 271

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 271, 538, 98, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 538, 98, 764 is 1.

Therefore, GCD of numbers 271, 538, 98, 764 is 1

Finding GCD of 271, 538, 98, 764 using Prime Factorization

Given Input Data is 271, 538, 98, 764

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

Prime Factorization of 271 is 271

Prime Factorization of 538 is 2 x 269

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 764 is 2 x 2 x 191

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

Finding GCD of 271, 538, 98, 764 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(271, 538) = 145798

GCD(271, 538) = ( 271 x 538 ) / 145798

GCD(271, 538) = 145798 / 145798

GCD(271, 538) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 764

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

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

GCD(1, 764) = 764 / 764

GCD(1, 764) = 1

GCD of 271, 538, 98, 764 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 271, 538, 98, 764

1. What is the GCD of 271, 538, 98, 764?

GCD of 271, 538, 98, 764 is 1


2. Where do I get the detailed procedure to find GCD of 271, 538, 98, 764?

You can find a detailed procedure to find GCD of 271, 538, 98, 764 on our page.


3. How to find GCD of 271, 538, 98, 764 on a calculator?

You can find the GCD of 271, 538, 98, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.