GCD of 399, 567, 19, 956 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 399, 567, 19, 956 i.e. 1 largest integer that divides all the numbers equally.

GCD of 399, 567, 19, 956 is 1

GCD(399, 567, 19, 956) = 1

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

GCD of

GCD of numbers 399, 567, 19, 956 is 1

GCD(399, 567, 19, 956) = 1

GCD of 399,567,19,956 Calculator

GCDof 399,567,19,956 is 1

Given Input numbers are 399, 567, 19, 956

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 399, 567, 19, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 567, 19, 956 is 1.

Therefore, GCD of numbers 399, 567, 19, 956 is 1

Finding GCD of 399, 567, 19, 956 using Prime Factorization

Given Input Data is 399, 567, 19, 956

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

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 19 is 19

Prime Factorization of 956 is 2 x 2 x 239

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

Finding GCD of 399, 567, 19, 956 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(399, 567) = 10773

GCD(399, 567) = ( 399 x 567 ) / 10773

GCD(399, 567) = 226233 / 10773

GCD(399, 567) = 21


Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 19

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

LCM(21, 19) = 399

GCD(21, 19) = ( 21 x 19 ) / 399

GCD(21, 19) = 399 / 399

GCD(21, 19) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

GCD of 399, 567, 19, 956 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 399, 567, 19, 956

1. What is the GCD of 399, 567, 19, 956?

GCD of 399, 567, 19, 956 is 1


2. Where do I get the detailed procedure to find GCD of 399, 567, 19, 956?

You can find a detailed procedure to find GCD of 399, 567, 19, 956 on our page.


3. How to find GCD of 399, 567, 19, 956 on a calculator?

You can find the GCD of 399, 567, 19, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.