GCD of 333, 951, 699, 997 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 333, 951, 699, 997 i.e. 1 largest integer that divides all the numbers equally.

GCD of 333, 951, 699, 997 is 1

GCD(333, 951, 699, 997) = 1

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

GCD of

GCD of numbers 333, 951, 699, 997 is 1

GCD(333, 951, 699, 997) = 1

GCD of 333,951,699,997 Calculator

GCDof 333,951,699,997 is 1

Given Input numbers are 333, 951, 699, 997

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

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Divisors of 951

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

1, 3, 317, 951

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 333, 951, 699, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 333, 951, 699, 997 is 1.

Therefore, GCD of numbers 333, 951, 699, 997 is 1

Finding GCD of 333, 951, 699, 997 using Prime Factorization

Given Input Data is 333, 951, 699, 997

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

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 951 is 3 x 317

Prime Factorization of 699 is 3 x 233

Prime Factorization of 997 is 997

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

Finding GCD of 333, 951, 699, 997 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(333, 951) = 105561

GCD(333, 951) = ( 333 x 951 ) / 105561

GCD(333, 951) = 316683 / 105561

GCD(333, 951) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 699

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

LCM(3, 699) = 699

GCD(3, 699) = ( 3 x 699 ) / 699

GCD(3, 699) = 2097 / 699

GCD(3, 699) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 997

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

LCM(3, 997) = 2991

GCD(3, 997) = ( 3 x 997 ) / 2991

GCD(3, 997) = 2991 / 2991

GCD(3, 997) = 1

GCD of 333, 951, 699, 997 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 333, 951, 699, 997

1. What is the GCD of 333, 951, 699, 997?

GCD of 333, 951, 699, 997 is 1


2. Where do I get the detailed procedure to find GCD of 333, 951, 699, 997?

You can find a detailed procedure to find GCD of 333, 951, 699, 997 on our page.


3. How to find GCD of 333, 951, 699, 997 on a calculator?

You can find the GCD of 333, 951, 699, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.