GCD of 490, 710, 491, 577 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 490, 710, 491, 577 i.e. 1 largest integer that divides all the numbers equally.

GCD of 490, 710, 491, 577 is 1

GCD(490, 710, 491, 577) = 1

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

GCD of

GCD of numbers 490, 710, 491, 577 is 1

GCD(490, 710, 491, 577) = 1

GCD of 490,710,491,577 Calculator

GCDof 490,710,491,577 is 1

Given Input numbers are 490, 710, 491, 577

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

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

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 491

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

1, 491

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Greatest Common Divisior

We found the divisors of 490, 710, 491, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 710, 491, 577 is 1.

Therefore, GCD of numbers 490, 710, 491, 577 is 1

Finding GCD of 490, 710, 491, 577 using Prime Factorization

Given Input Data is 490, 710, 491, 577

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

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

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 491 is 491

Prime Factorization of 577 is 577

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

Finding GCD of 490, 710, 491, 577 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(490, 710) = 34790

GCD(490, 710) = ( 490 x 710 ) / 34790

GCD(490, 710) = 347900 / 34790

GCD(490, 710) = 10


Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 491

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

LCM(10, 491) = 4910

GCD(10, 491) = ( 10 x 491 ) / 4910

GCD(10, 491) = 4910 / 4910

GCD(10, 491) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 577

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

LCM(1, 577) = 577

GCD(1, 577) = ( 1 x 577 ) / 577

GCD(1, 577) = 577 / 577

GCD(1, 577) = 1

GCD of 490, 710, 491, 577 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 490, 710, 491, 577

1. What is the GCD of 490, 710, 491, 577?

GCD of 490, 710, 491, 577 is 1


2. Where do I get the detailed procedure to find GCD of 490, 710, 491, 577?

You can find a detailed procedure to find GCD of 490, 710, 491, 577 on our page.


3. How to find GCD of 490, 710, 491, 577 on a calculator?

You can find the GCD of 490, 710, 491, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.