GCD of 853, 489, 201, 398 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 853, 489, 201, 398 i.e. 1 largest integer that divides all the numbers equally.

GCD of 853, 489, 201, 398 is 1

GCD(853, 489, 201, 398) = 1

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

GCD of

GCD of numbers 853, 489, 201, 398 is 1

GCD(853, 489, 201, 398) = 1

GCD of 853,489,201,398 Calculator

GCDof 853,489,201,398 is 1

Given Input numbers are 853, 489, 201, 398

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

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 489

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

1, 3, 163, 489

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 853, 489, 201, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 489, 201, 398 is 1.

Therefore, GCD of numbers 853, 489, 201, 398 is 1

Finding GCD of 853, 489, 201, 398 using Prime Factorization

Given Input Data is 853, 489, 201, 398

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

Prime Factorization of 853 is 853

Prime Factorization of 489 is 3 x 163

Prime Factorization of 201 is 3 x 67

Prime Factorization of 398 is 2 x 199

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

Finding GCD of 853, 489, 201, 398 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(853, 489) = 417117

GCD(853, 489) = ( 853 x 489 ) / 417117

GCD(853, 489) = 417117 / 417117

GCD(853, 489) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 201

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

LCM(1, 201) = 201

GCD(1, 201) = ( 1 x 201 ) / 201

GCD(1, 201) = 201 / 201

GCD(1, 201) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 853, 489, 201, 398 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 853, 489, 201, 398

1. What is the GCD of 853, 489, 201, 398?

GCD of 853, 489, 201, 398 is 1


2. Where do I get the detailed procedure to find GCD of 853, 489, 201, 398?

You can find a detailed procedure to find GCD of 853, 489, 201, 398 on our page.


3. How to find GCD of 853, 489, 201, 398 on a calculator?

You can find the GCD of 853, 489, 201, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.