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 121, 868, 180, 388 i.e. 1 largest integer that divides all the numbers equally.
GCD of 121, 868, 180, 388 is 1
GCD(121, 868, 180, 388) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 121, 868, 180, 388 is 1
GCD(121, 868, 180, 388) = 1
Given Input numbers are 121, 868, 180, 388
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Greatest Common Divisior
We found the divisors of 121, 868, 180, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 868, 180, 388 is 1.
Therefore, GCD of numbers 121, 868, 180, 388 is 1
Given Input Data is 121, 868, 180, 388
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 121 is 11 x 11
Prime Factorization of 868 is 2 x 2 x 7 x 31
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 388 is 2 x 2 x 97
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(121, 868) = 105028
GCD(121, 868) = ( 121 x 868 ) / 105028
GCD(121, 868) = 105028 / 105028
GCD(121, 868) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
GCD(1, 180) = 180 / 180
GCD(1, 180) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 388
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 388) = 388
GCD(1, 388) = ( 1 x 388 ) / 388
GCD(1, 388) = 388 / 388
GCD(1, 388) = 1
GCD of 121, 868, 180, 388 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 121, 868, 180, 388?
GCD of 121, 868, 180, 388 is 1
2. Where do I get the detailed procedure to find GCD of 121, 868, 180, 388?
You can find a detailed procedure to find GCD of 121, 868, 180, 388 on our page.
3. How to find GCD of 121, 868, 180, 388 on a calculator?
You can find the GCD of 121, 868, 180, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.