GCD of 559, 265, 90, 491 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 559, 265, 90, 491 i.e. 1 largest integer that divides all the numbers equally.

GCD of 559, 265, 90, 491 is 1

GCD(559, 265, 90, 491) = 1

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

GCD of

GCD of numbers 559, 265, 90, 491 is 1

GCD(559, 265, 90, 491) = 1

GCD of 559,265,90,491 Calculator

GCDof 559,265,90,491 is 1

Given Input numbers are 559, 265, 90, 491

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

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

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 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 559, 265, 90, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 265, 90, 491 is 1.

Therefore, GCD of numbers 559, 265, 90, 491 is 1

Finding GCD of 559, 265, 90, 491 using Prime Factorization

Given Input Data is 559, 265, 90, 491

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 265 is 5 x 53

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

Prime Factorization of 491 is 491

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

Finding GCD of 559, 265, 90, 491 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(559, 265) = 148135

GCD(559, 265) = ( 559 x 265 ) / 148135

GCD(559, 265) = 148135 / 148135

GCD(559, 265) = 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 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

GCD of 559, 265, 90, 491 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 559, 265, 90, 491

1. What is the GCD of 559, 265, 90, 491?

GCD of 559, 265, 90, 491 is 1


2. Where do I get the detailed procedure to find GCD of 559, 265, 90, 491?

You can find a detailed procedure to find GCD of 559, 265, 90, 491 on our page.


3. How to find GCD of 559, 265, 90, 491 on a calculator?

You can find the GCD of 559, 265, 90, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.