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, 331, 43, 391 i.e. 1 largest integer that divides all the numbers equally.
GCD of 269, 331, 43, 391 is 1
GCD(269, 331, 43, 391) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 269, 331, 43, 391 is 1
GCD(269, 331, 43, 391) = 1
Given Input numbers are 269, 331, 43, 391
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 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Greatest Common Divisior
We found the divisors of 269, 331, 43, 391 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 331, 43, 391 is 1.
Therefore, GCD of numbers 269, 331, 43, 391 is 1
Given Input Data is 269, 331, 43, 391
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 269 is 269
Prime Factorization of 331 is 331
Prime Factorization of 43 is 43
Prime Factorization of 391 is 17 x 23
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, 331) = 89039
GCD(269, 331) = ( 269 x 331 ) / 89039
GCD(269, 331) = 89039 / 89039
GCD(269, 331) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 43) = 43
GCD(1, 43) = ( 1 x 43 ) / 43
GCD(1, 43) = 43 / 43
GCD(1, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 391
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 391) = 391
GCD(1, 391) = ( 1 x 391 ) / 391
GCD(1, 391) = 391 / 391
GCD(1, 391) = 1
GCD of 269, 331, 43, 391 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 269, 331, 43, 391?
GCD of 269, 331, 43, 391 is 1
2. Where do I get the detailed procedure to find GCD of 269, 331, 43, 391?
You can find a detailed procedure to find GCD of 269, 331, 43, 391 on our page.
3. How to find GCD of 269, 331, 43, 391 on a calculator?
You can find the GCD of 269, 331, 43, 391 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.