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 116, 258, 21, 845 i.e. 1 largest integer that divides all the numbers equally.
GCD of 116, 258, 21, 845 is 1
GCD(116, 258, 21, 845) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 116, 258, 21, 845 is 1
GCD(116, 258, 21, 845) = 1
Given Input numbers are 116, 258, 21, 845
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
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 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Greatest Common Divisior
We found the divisors of 116, 258, 21, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 258, 21, 845 is 1.
Therefore, GCD of numbers 116, 258, 21, 845 is 1
Given Input Data is 116, 258, 21, 845
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 258 is 2 x 3 x 43
Prime Factorization of 21 is 3 x 7
Prime Factorization of 845 is 5 x 13 x 13
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(116, 258) = 14964
GCD(116, 258) = ( 116 x 258 ) / 14964
GCD(116, 258) = 29928 / 14964
GCD(116, 258) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 21) = 42
GCD(2, 21) = ( 2 x 21 ) / 42
GCD(2, 21) = 42 / 42
GCD(2, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 845
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 845) = 845
GCD(1, 845) = ( 1 x 845 ) / 845
GCD(1, 845) = 845 / 845
GCD(1, 845) = 1
GCD of 116, 258, 21, 845 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 116, 258, 21, 845?
GCD of 116, 258, 21, 845 is 1
2. Where do I get the detailed procedure to find GCD of 116, 258, 21, 845?
You can find a detailed procedure to find GCD of 116, 258, 21, 845 on our page.
3. How to find GCD of 116, 258, 21, 845 on a calculator?
You can find the GCD of 116, 258, 21, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.