GCD of 763, 237, 198, 489 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 763, 237, 198, 489 i.e. 1 largest integer that divides all the numbers equally.

GCD of 763, 237, 198, 489 is 1

GCD(763, 237, 198, 489) = 1

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

GCD of

GCD of numbers 763, 237, 198, 489 is 1

GCD(763, 237, 198, 489) = 1

GCD of 763,237,198,489 Calculator

GCDof 763,237,198,489 is 1

Given Input numbers are 763, 237, 198, 489

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

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 489

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

1, 3, 163, 489

Greatest Common Divisior

We found the divisors of 763, 237, 198, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 763, 237, 198, 489 is 1.

Therefore, GCD of numbers 763, 237, 198, 489 is 1

Finding GCD of 763, 237, 198, 489 using Prime Factorization

Given Input Data is 763, 237, 198, 489

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

Prime Factorization of 763 is 7 x 109

Prime Factorization of 237 is 3 x 79

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 489 is 3 x 163

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

Finding GCD of 763, 237, 198, 489 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(763, 237) = 180831

GCD(763, 237) = ( 763 x 237 ) / 180831

GCD(763, 237) = 180831 / 180831

GCD(763, 237) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

GCD of 763, 237, 198, 489 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 763, 237, 198, 489

1. What is the GCD of 763, 237, 198, 489?

GCD of 763, 237, 198, 489 is 1


2. Where do I get the detailed procedure to find GCD of 763, 237, 198, 489?

You can find a detailed procedure to find GCD of 763, 237, 198, 489 on our page.


3. How to find GCD of 763, 237, 198, 489 on a calculator?

You can find the GCD of 763, 237, 198, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.