GCD of 269, 537, 90, 913 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 269, 537, 90, 913 i.e. 1 largest integer that divides all the numbers equally.

GCD of 269, 537, 90, 913 is 1

GCD(269, 537, 90, 913) = 1

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

GCD of

GCD of numbers 269, 537, 90, 913 is 1

GCD(269, 537, 90, 913) = 1

GCD of 269,537,90,913 Calculator

GCDof 269,537,90,913 is 1

Given Input numbers are 269, 537, 90, 913

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

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Greatest Common Divisior

We found the divisors of 269, 537, 90, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 537, 90, 913 is 1.

Therefore, GCD of numbers 269, 537, 90, 913 is 1

Finding GCD of 269, 537, 90, 913 using Prime Factorization

Given Input Data is 269, 537, 90, 913

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

Prime Factorization of 269 is 269

Prime Factorization of 537 is 3 x 179

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 913 is 11 x 83

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

Finding GCD of 269, 537, 90, 913 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(269, 537) = 144453

GCD(269, 537) = ( 269 x 537 ) / 144453

GCD(269, 537) = 144453 / 144453

GCD(269, 537) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 913

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

LCM(1, 913) = 913

GCD(1, 913) = ( 1 x 913 ) / 913

GCD(1, 913) = 913 / 913

GCD(1, 913) = 1

GCD of 269, 537, 90, 913 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 269, 537, 90, 913

1. What is the GCD of 269, 537, 90, 913?

GCD of 269, 537, 90, 913 is 1


2. Where do I get the detailed procedure to find GCD of 269, 537, 90, 913?

You can find a detailed procedure to find GCD of 269, 537, 90, 913 on our page.


3. How to find GCD of 269, 537, 90, 913 on a calculator?

You can find the GCD of 269, 537, 90, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.