GCD of 303, 669, 83, 683 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 303, 669, 83, 683 i.e. 1 largest integer that divides all the numbers equally.

GCD of 303, 669, 83, 683 is 1

GCD(303, 669, 83, 683) = 1

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

GCD of

GCD of numbers 303, 669, 83, 683 is 1

GCD(303, 669, 83, 683) = 1

GCD of 303,669,83,683 Calculator

GCDof 303,669,83,683 is 1

Given Input numbers are 303, 669, 83, 683

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

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 303, 669, 83, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 669, 83, 683 is 1.

Therefore, GCD of numbers 303, 669, 83, 683 is 1

Finding GCD of 303, 669, 83, 683 using Prime Factorization

Given Input Data is 303, 669, 83, 683

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

Prime Factorization of 303 is 3 x 101

Prime Factorization of 669 is 3 x 223

Prime Factorization of 83 is 83

Prime Factorization of 683 is 683

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

Finding GCD of 303, 669, 83, 683 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(303, 669) = 67569

GCD(303, 669) = ( 303 x 669 ) / 67569

GCD(303, 669) = 202707 / 67569

GCD(303, 669) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 83

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

LCM(3, 83) = 249

GCD(3, 83) = ( 3 x 83 ) / 249

GCD(3, 83) = 249 / 249

GCD(3, 83) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 683

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

LCM(1, 683) = 683

GCD(1, 683) = ( 1 x 683 ) / 683

GCD(1, 683) = 683 / 683

GCD(1, 683) = 1

GCD of 303, 669, 83, 683 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 303, 669, 83, 683

1. What is the GCD of 303, 669, 83, 683?

GCD of 303, 669, 83, 683 is 1


2. Where do I get the detailed procedure to find GCD of 303, 669, 83, 683?

You can find a detailed procedure to find GCD of 303, 669, 83, 683 on our page.


3. How to find GCD of 303, 669, 83, 683 on a calculator?

You can find the GCD of 303, 669, 83, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.