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 89, 193, 238, 269 i.e. 1 largest integer that divides all the numbers equally.
GCD of 89, 193, 238, 269 is 1
GCD(89, 193, 238, 269) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 89, 193, 238, 269 is 1
GCD(89, 193, 238, 269) = 1
Given Input numbers are 89, 193, 238, 269
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 193
List of positive integer divisors of 193 that divides 193 without a remainder.
1, 193
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Greatest Common Divisior
We found the divisors of 89, 193, 238, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 193, 238, 269 is 1.
Therefore, GCD of numbers 89, 193, 238, 269 is 1
Given Input Data is 89, 193, 238, 269
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 89 is 89
Prime Factorization of 193 is 193
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 269 is 269
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(89, 193) = 17177
GCD(89, 193) = ( 89 x 193 ) / 17177
GCD(89, 193) = 17177 / 17177
GCD(89, 193) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 269
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 269) = 269
GCD(1, 269) = ( 1 x 269 ) / 269
GCD(1, 269) = 269 / 269
GCD(1, 269) = 1
GCD of 89, 193, 238, 269 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 89, 193, 238, 269?
GCD of 89, 193, 238, 269 is 1
2. Where do I get the detailed procedure to find GCD of 89, 193, 238, 269?
You can find a detailed procedure to find GCD of 89, 193, 238, 269 on our page.
3. How to find GCD of 89, 193, 238, 269 on a calculator?
You can find the GCD of 89, 193, 238, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.