GCD of 58, 990, 489, 263 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 58, 990, 489, 263 i.e. 1 largest integer that divides all the numbers equally.

GCD of 58, 990, 489, 263 is 1

GCD(58, 990, 489, 263) = 1

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

GCD of

GCD of numbers 58, 990, 489, 263 is 1

GCD(58, 990, 489, 263) = 1

GCD of 58,990,489,263 Calculator

GCDof 58,990,489,263 is 1

Given Input numbers are 58, 990, 489, 263

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Greatest Common Divisior

We found the divisors of 58, 990, 489, 263 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 990, 489, 263 is 1.

Therefore, GCD of numbers 58, 990, 489, 263 is 1

Finding GCD of 58, 990, 489, 263 using Prime Factorization

Given Input Data is 58, 990, 489, 263

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 489 is 3 x 163

Prime Factorization of 263 is 263

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

Finding GCD of 58, 990, 489, 263 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(58, 990) = 28710

GCD(58, 990) = ( 58 x 990 ) / 28710

GCD(58, 990) = 57420 / 28710

GCD(58, 990) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 489

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

LCM(2, 489) = 978

GCD(2, 489) = ( 2 x 489 ) / 978

GCD(2, 489) = 978 / 978

GCD(2, 489) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 263

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

LCM(1, 263) = 263

GCD(1, 263) = ( 1 x 263 ) / 263

GCD(1, 263) = 263 / 263

GCD(1, 263) = 1

GCD of 58, 990, 489, 263 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 58, 990, 489, 263

1. What is the GCD of 58, 990, 489, 263?

GCD of 58, 990, 489, 263 is 1


2. Where do I get the detailed procedure to find GCD of 58, 990, 489, 263?

You can find a detailed procedure to find GCD of 58, 990, 489, 263 on our page.


3. How to find GCD of 58, 990, 489, 263 on a calculator?

You can find the GCD of 58, 990, 489, 263 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.