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 107, 918, 191, 241 i.e. 1 largest integer that divides all the numbers equally.
GCD of 107, 918, 191, 241 is 1
GCD(107, 918, 191, 241) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 107, 918, 191, 241 is 1
GCD(107, 918, 191, 241) = 1
Given Input numbers are 107, 918, 191, 241
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 191
List of positive integer divisors of 191 that divides 191 without a remainder.
1, 191
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Greatest Common Divisior
We found the divisors of 107, 918, 191, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 918, 191, 241 is 1.
Therefore, GCD of numbers 107, 918, 191, 241 is 1
Given Input Data is 107, 918, 191, 241
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 107 is 107
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 191 is 191
Prime Factorization of 241 is 241
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(107, 918) = 98226
GCD(107, 918) = ( 107 x 918 ) / 98226
GCD(107, 918) = 98226 / 98226
GCD(107, 918) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 191
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 191) = 191
GCD(1, 191) = ( 1 x 191 ) / 191
GCD(1, 191) = 191 / 191
GCD(1, 191) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 241
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 241) = 241
GCD(1, 241) = ( 1 x 241 ) / 241
GCD(1, 241) = 241 / 241
GCD(1, 241) = 1
GCD of 107, 918, 191, 241 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 107, 918, 191, 241?
GCD of 107, 918, 191, 241 is 1
2. Where do I get the detailed procedure to find GCD of 107, 918, 191, 241?
You can find a detailed procedure to find GCD of 107, 918, 191, 241 on our page.
3. How to find GCD of 107, 918, 191, 241 on a calculator?
You can find the GCD of 107, 918, 191, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.