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 258, 211, 31, 844 i.e. 1 largest integer that divides all the numbers equally.
GCD of 258, 211, 31, 844 is 1
GCD(258, 211, 31, 844) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 258, 211, 31, 844 is 1
GCD(258, 211, 31, 844) = 1
Given Input numbers are 258, 211, 31, 844
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 211
List of positive integer divisors of 211 that divides 211 without a remainder.
1, 211
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Greatest Common Divisior
We found the divisors of 258, 211, 31, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 211, 31, 844 is 1.
Therefore, GCD of numbers 258, 211, 31, 844 is 1
Given Input Data is 258, 211, 31, 844
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 258 is 2 x 3 x 43
Prime Factorization of 211 is 211
Prime Factorization of 31 is 31
Prime Factorization of 844 is 2 x 2 x 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(258, 211) = 54438
GCD(258, 211) = ( 258 x 211 ) / 54438
GCD(258, 211) = 54438 / 54438
GCD(258, 211) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 844
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 844) = 844
GCD(1, 844) = ( 1 x 844 ) / 844
GCD(1, 844) = 844 / 844
GCD(1, 844) = 1
GCD of 258, 211, 31, 844 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 258, 211, 31, 844?
GCD of 258, 211, 31, 844 is 1
2. Where do I get the detailed procedure to find GCD of 258, 211, 31, 844?
You can find a detailed procedure to find GCD of 258, 211, 31, 844 on our page.
3. How to find GCD of 258, 211, 31, 844 on a calculator?
You can find the GCD of 258, 211, 31, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.