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 numbers 855, 689, 21, 185 is 1
GCD(855, 689, 21, 185) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.