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 854, 138, 506, 211 i.e. 1 largest integer that divides all the numbers equally.
GCD of 854, 138, 506, 211 is 1
GCD(854, 138, 506, 211) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 854, 138, 506, 211 is 1
GCD(854, 138, 506, 211) = 1
Given Input numbers are 854, 138, 506, 211
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 506
List of positive integer divisors of 506 that divides 506 without a remainder.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 211
List of positive integer divisors of 211 that divides 211 without a remainder.
1, 211
Greatest Common Divisior
We found the divisors of 854, 138, 506, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 138, 506, 211 is 1.
Therefore, GCD of numbers 854, 138, 506, 211 is 1
Given Input Data is 854, 138, 506, 211
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 506 is 2 x 11 x 23
Prime Factorization of 211 is 211
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(854, 138) = 58926
GCD(854, 138) = ( 854 x 138 ) / 58926
GCD(854, 138) = 117852 / 58926
GCD(854, 138) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 506
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 506) = 506
GCD(2, 506) = ( 2 x 506 ) / 506
GCD(2, 506) = 1012 / 506
GCD(2, 506) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 211
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 211) = 422
GCD(2, 211) = ( 2 x 211 ) / 422
GCD(2, 211) = 422 / 422
GCD(2, 211) = 1
GCD of 854, 138, 506, 211 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 854, 138, 506, 211?
GCD of 854, 138, 506, 211 is 1
2. Where do I get the detailed procedure to find GCD of 854, 138, 506, 211?
You can find a detailed procedure to find GCD of 854, 138, 506, 211 on our page.
3. How to find GCD of 854, 138, 506, 211 on a calculator?
You can find the GCD of 854, 138, 506, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.