GCD of 491, 498, 902, 785 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 491, 498, 902, 785 i.e. 1 largest integer that divides all the numbers equally.

GCD of 491, 498, 902, 785 is 1

GCD(491, 498, 902, 785) = 1

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

GCD of

GCD of numbers 491, 498, 902, 785 is 1

GCD(491, 498, 902, 785) = 1

GCD of 491,498,902,785 Calculator

GCDof 491,498,902,785 is 1

Given Input numbers are 491, 498, 902, 785

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

Divisors of 491

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

1, 491

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Greatest Common Divisior

We found the divisors of 491, 498, 902, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 498, 902, 785 is 1.

Therefore, GCD of numbers 491, 498, 902, 785 is 1

Finding GCD of 491, 498, 902, 785 using Prime Factorization

Given Input Data is 491, 498, 902, 785

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

Prime Factorization of 491 is 491

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 785 is 5 x 157

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

Finding GCD of 491, 498, 902, 785 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(491, 498) = 244518

GCD(491, 498) = ( 491 x 498 ) / 244518

GCD(491, 498) = 244518 / 244518

GCD(491, 498) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 785

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

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

GCD(1, 785) = 785 / 785

GCD(1, 785) = 1

GCD of 491, 498, 902, 785 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 491, 498, 902, 785

1. What is the GCD of 491, 498, 902, 785?

GCD of 491, 498, 902, 785 is 1


2. Where do I get the detailed procedure to find GCD of 491, 498, 902, 785?

You can find a detailed procedure to find GCD of 491, 498, 902, 785 on our page.


3. How to find GCD of 491, 498, 902, 785 on a calculator?

You can find the GCD of 491, 498, 902, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.