GCD of 855, 689, 21, 185 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 855, 689, 21, 185 i.e. 1 largest integer that divides all the numbers equally.

GCD of 855, 689, 21, 185 is 1

GCD(855, 689, 21, 185) = 1

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

GCD of

GCD of numbers 855, 689, 21, 185 is 1

GCD(855, 689, 21, 185) = 1

GCD of 855,689,21,185 Calculator

GCDof 855,689,21,185 is 1

Given Input numbers are 855, 689, 21, 185

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

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Greatest Common Divisior

We found the divisors of 855, 689, 21, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 689, 21, 185 is 1.

Therefore, GCD of numbers 855, 689, 21, 185 is 1

Finding GCD of 855, 689, 21, 185 using Prime Factorization

Given Input Data is 855, 689, 21, 185

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

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 689 is 13 x 53

Prime Factorization of 21 is 3 x 7

Prime Factorization of 185 is 5 x 37

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

Finding GCD of 855, 689, 21, 185 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(855, 689) = 589095

GCD(855, 689) = ( 855 x 689 ) / 589095

GCD(855, 689) = 589095 / 589095

GCD(855, 689) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 185

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

LCM(1, 185) = 185

GCD(1, 185) = ( 1 x 185 ) / 185

GCD(1, 185) = 185 / 185

GCD(1, 185) = 1

GCD of 855, 689, 21, 185 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 855, 689, 21, 185

1. What is the GCD of 855, 689, 21, 185?

GCD of 855, 689, 21, 185 is 1


2. Where do I get the detailed procedure to find GCD of 855, 689, 21, 185?

You can find a detailed procedure to find GCD of 855, 689, 21, 185 on our page.


3. How to find GCD of 855, 689, 21, 185 on a calculator?

You can find the GCD of 855, 689, 21, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.