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 269, 121, 396, 199 i.e. 1 largest integer that divides all the numbers equally.
GCD of 269, 121, 396, 199 is 1
GCD(269, 121, 396, 199) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 269, 121, 396, 199 is 1
GCD(269, 121, 396, 199) = 1
Given Input numbers are 269, 121, 396, 199
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
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 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
Greatest Common Divisior
We found the divisors of 269, 121, 396, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 121, 396, 199 is 1.
Therefore, GCD of numbers 269, 121, 396, 199 is 1
Given Input Data is 269, 121, 396, 199
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 269 is 269
Prime Factorization of 121 is 11 x 11
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 199 is 199
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(269, 121) = 32549
GCD(269, 121) = ( 269 x 121 ) / 32549
GCD(269, 121) = 32549 / 32549
GCD(269, 121) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
GCD(1, 396) = 396 / 396
GCD(1, 396) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 199
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 199) = 199
GCD(1, 199) = ( 1 x 199 ) / 199
GCD(1, 199) = 199 / 199
GCD(1, 199) = 1
GCD of 269, 121, 396, 199 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 269, 121, 396, 199?
GCD of 269, 121, 396, 199 is 1
2. Where do I get the detailed procedure to find GCD of 269, 121, 396, 199?
You can find a detailed procedure to find GCD of 269, 121, 396, 199 on our page.
3. How to find GCD of 269, 121, 396, 199 on a calculator?
You can find the GCD of 269, 121, 396, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.