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 195, 121, 30, 251 i.e. 1 largest integer that divides all the numbers equally.
GCD of 195, 121, 30, 251 is 1
GCD(195, 121, 30, 251) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 195, 121, 30, 251 is 1
GCD(195, 121, 30, 251) = 1
Given Input numbers are 195, 121, 30, 251
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Greatest Common Divisior
We found the divisors of 195, 121, 30, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 121, 30, 251 is 1.
Therefore, GCD of numbers 195, 121, 30, 251 is 1
Given Input Data is 195, 121, 30, 251
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 121 is 11 x 11
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 251 is 251
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(195, 121) = 23595
GCD(195, 121) = ( 195 x 121 ) / 23595
GCD(195, 121) = 23595 / 23595
GCD(195, 121) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
GCD(1, 30) = 30 / 30
GCD(1, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 251
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 251) = 251
GCD(1, 251) = ( 1 x 251 ) / 251
GCD(1, 251) = 251 / 251
GCD(1, 251) = 1
GCD of 195, 121, 30, 251 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 195, 121, 30, 251?
GCD of 195, 121, 30, 251 is 1
2. Where do I get the detailed procedure to find GCD of 195, 121, 30, 251?
You can find a detailed procedure to find GCD of 195, 121, 30, 251 on our page.
3. How to find GCD of 195, 121, 30, 251 on a calculator?
You can find the GCD of 195, 121, 30, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.