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 27, 210, 401, 854 i.e. 1 largest integer that divides all the numbers equally.
GCD of 27, 210, 401, 854 is 1
GCD(27, 210, 401, 854) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 27, 210, 401, 854 is 1
GCD(27, 210, 401, 854) = 1
Given Input numbers are 27, 210, 401, 854
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Greatest Common Divisior
We found the divisors of 27, 210, 401, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 210, 401, 854 is 1.
Therefore, GCD of numbers 27, 210, 401, 854 is 1
Given Input Data is 27, 210, 401, 854
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 401 is 401
Prime Factorization of 854 is 2 x 7 x 61
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(27, 210) = 1890
GCD(27, 210) = ( 27 x 210 ) / 1890
GCD(27, 210) = 5670 / 1890
GCD(27, 210) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 401
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 401) = 1203
GCD(3, 401) = ( 3 x 401 ) / 1203
GCD(3, 401) = 1203 / 1203
GCD(3, 401) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 854
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 854) = 854
GCD(1, 854) = ( 1 x 854 ) / 854
GCD(1, 854) = 854 / 854
GCD(1, 854) = 1
GCD of 27, 210, 401, 854 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 27, 210, 401, 854?
GCD of 27, 210, 401, 854 is 1
2. Where do I get the detailed procedure to find GCD of 27, 210, 401, 854?
You can find a detailed procedure to find GCD of 27, 210, 401, 854 on our page.
3. How to find GCD of 27, 210, 401, 854 on a calculator?
You can find the GCD of 27, 210, 401, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.