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, 122, 99, 238 i.e. 1 largest integer that divides all the numbers equally.
GCD of 269, 122, 99, 238 is 1
GCD(269, 122, 99, 238) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 269, 122, 99, 238 is 1
GCD(269, 122, 99, 238) = 1
Given Input numbers are 269, 122, 99, 238
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 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Greatest Common Divisior
We found the divisors of 269, 122, 99, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 122, 99, 238 is 1.
Therefore, GCD of numbers 269, 122, 99, 238 is 1
Given Input Data is 269, 122, 99, 238
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 269 is 269
Prime Factorization of 122 is 2 x 61
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 238 is 2 x 7 x 17
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, 122) = 32818
GCD(269, 122) = ( 269 x 122 ) / 32818
GCD(269, 122) = 32818 / 32818
GCD(269, 122) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 238
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 238) = 238
GCD(1, 238) = ( 1 x 238 ) / 238
GCD(1, 238) = 238 / 238
GCD(1, 238) = 1
GCD of 269, 122, 99, 238 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 269, 122, 99, 238?
GCD of 269, 122, 99, 238 is 1
2. Where do I get the detailed procedure to find GCD of 269, 122, 99, 238?
You can find a detailed procedure to find GCD of 269, 122, 99, 238 on our page.
3. How to find GCD of 269, 122, 99, 238 on a calculator?
You can find the GCD of 269, 122, 99, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.