GCD of 803, 951, 165, 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 803, 951, 165, 398 i.e. 1 largest integer that divides all the numbers equally.

GCD of 803, 951, 165, 398 is 1

GCD(803, 951, 165, 398) = 1

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

GCD of

GCD of numbers 803, 951, 165, 398 is 1

GCD(803, 951, 165, 398) = 1

GCD of 803,951,165,398 Calculator

GCDof 803,951,165,398 is 1

Given Input numbers are 803, 951, 165, 398

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

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

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 803, 951, 165, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 803, 951, 165, 398 is 1.

Therefore, GCD of numbers 803, 951, 165, 398 is 1

Finding GCD of 803, 951, 165, 398 using Prime Factorization

Given Input Data is 803, 951, 165, 398

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

Prime Factorization of 803 is 11 x 73

Prime Factorization of 951 is 3 x 317

Prime Factorization of 165 is 3 x 5 x 11

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 803, 951, 165, 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(803, 951) = 763653

GCD(803, 951) = ( 803 x 951 ) / 763653

GCD(803, 951) = 763653 / 763653

GCD(803, 951) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 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 803, 951, 165, 398 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 803, 951, 165, 398

1. What is the GCD of 803, 951, 165, 398?

GCD of 803, 951, 165, 398 is 1


2. Where do I get the detailed procedure to find GCD of 803, 951, 165, 398?

You can find a detailed procedure to find GCD of 803, 951, 165, 398 on our page.


3. How to find GCD of 803, 951, 165, 398 on a calculator?

You can find the GCD of 803, 951, 165, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.