GCD of 982, 585, 72, 490 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 982, 585, 72, 490 i.e. 1 largest integer that divides all the numbers equally.

GCD of 982, 585, 72, 490 is 1

GCD(982, 585, 72, 490) = 1

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

GCD of

GCD of numbers 982, 585, 72, 490 is 1

GCD(982, 585, 72, 490) = 1

GCD of 982,585,72,490 Calculator

GCDof 982,585,72,490 is 1

Given Input numbers are 982, 585, 72, 490

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

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Greatest Common Divisior

We found the divisors of 982, 585, 72, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 585, 72, 490 is 1.

Therefore, GCD of numbers 982, 585, 72, 490 is 1

Finding GCD of 982, 585, 72, 490 using Prime Factorization

Given Input Data is 982, 585, 72, 490

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 490 is 2 x 5 x 7 x 7

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

Finding GCD of 982, 585, 72, 490 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(982, 585) = 574470

GCD(982, 585) = ( 982 x 585 ) / 574470

GCD(982, 585) = 574470 / 574470

GCD(982, 585) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

GCD of 982, 585, 72, 490 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 982, 585, 72, 490

1. What is the GCD of 982, 585, 72, 490?

GCD of 982, 585, 72, 490 is 1


2. Where do I get the detailed procedure to find GCD of 982, 585, 72, 490?

You can find a detailed procedure to find GCD of 982, 585, 72, 490 on our page.


3. How to find GCD of 982, 585, 72, 490 on a calculator?

You can find the GCD of 982, 585, 72, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.