GCD of 234, 399, 16, 876 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 234, 399, 16, 876 i.e. 1 largest integer that divides all the numbers equally.

GCD of 234, 399, 16, 876 is 1

GCD(234, 399, 16, 876) = 1

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

GCD of

GCD of numbers 234, 399, 16, 876 is 1

GCD(234, 399, 16, 876) = 1

GCD of 234,399,16,876 Calculator

GCDof 234,399,16,876 is 1

Given Input numbers are 234, 399, 16, 876

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

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

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 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Greatest Common Divisior

We found the divisors of 234, 399, 16, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 399, 16, 876 is 1.

Therefore, GCD of numbers 234, 399, 16, 876 is 1

Finding GCD of 234, 399, 16, 876 using Prime Factorization

Given Input Data is 234, 399, 16, 876

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

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 876 is 2 x 2 x 3 x 73

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

Finding GCD of 234, 399, 16, 876 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(234, 399) = 31122

GCD(234, 399) = ( 234 x 399 ) / 31122

GCD(234, 399) = 93366 / 31122

GCD(234, 399) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 16

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

LCM(3, 16) = 48

GCD(3, 16) = ( 3 x 16 ) / 48

GCD(3, 16) = 48 / 48

GCD(3, 16) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 876

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

LCM(1, 876) = 876

GCD(1, 876) = ( 1 x 876 ) / 876

GCD(1, 876) = 876 / 876

GCD(1, 876) = 1

GCD of 234, 399, 16, 876 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 234, 399, 16, 876

1. What is the GCD of 234, 399, 16, 876?

GCD of 234, 399, 16, 876 is 1


2. Where do I get the detailed procedure to find GCD of 234, 399, 16, 876?

You can find a detailed procedure to find GCD of 234, 399, 16, 876 on our page.


3. How to find GCD of 234, 399, 16, 876 on a calculator?

You can find the GCD of 234, 399, 16, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.