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 381, 396, 95, 242 i.e. 1 largest integer that divides all the numbers equally.
GCD of 381, 396, 95, 242 is 1
GCD(381, 396, 95, 242) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 381, 396, 95, 242 is 1
GCD(381, 396, 95, 242) = 1
Given Input numbers are 381, 396, 95, 242
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Greatest Common Divisior
We found the divisors of 381, 396, 95, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 396, 95, 242 is 1.
Therefore, GCD of numbers 381, 396, 95, 242 is 1
Given Input Data is 381, 396, 95, 242
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 381 is 3 x 127
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 95 is 5 x 19
Prime Factorization of 242 is 2 x 11 x 11
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(381, 396) = 50292
GCD(381, 396) = ( 381 x 396 ) / 50292
GCD(381, 396) = 150876 / 50292
GCD(381, 396) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 95) = 285
GCD(3, 95) = ( 3 x 95 ) / 285
GCD(3, 95) = 285 / 285
GCD(3, 95) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 242
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 242) = 242
GCD(1, 242) = ( 1 x 242 ) / 242
GCD(1, 242) = 242 / 242
GCD(1, 242) = 1
GCD of 381, 396, 95, 242 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 381, 396, 95, 242?
GCD of 381, 396, 95, 242 is 1
2. Where do I get the detailed procedure to find GCD of 381, 396, 95, 242?
You can find a detailed procedure to find GCD of 381, 396, 95, 242 on our page.
3. How to find GCD of 381, 396, 95, 242 on a calculator?
You can find the GCD of 381, 396, 95, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.