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 239, 274, 40, 817 i.e. 1 largest integer that divides all the numbers equally.
GCD of 239, 274, 40, 817 is 1
GCD(239, 274, 40, 817) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 239, 274, 40, 817 is 1
GCD(239, 274, 40, 817) = 1
Given Input numbers are 239, 274, 40, 817
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 239
List of positive integer divisors of 239 that divides 239 without a remainder.
1, 239
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Greatest Common Divisior
We found the divisors of 239, 274, 40, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 239, 274, 40, 817 is 1.
Therefore, GCD of numbers 239, 274, 40, 817 is 1
Given Input Data is 239, 274, 40, 817
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 239 is 239
Prime Factorization of 274 is 2 x 137
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 817 is 19 x 43
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(239, 274) = 65486
GCD(239, 274) = ( 239 x 274 ) / 65486
GCD(239, 274) = 65486 / 65486
GCD(239, 274) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 817
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 817) = 817
GCD(1, 817) = ( 1 x 817 ) / 817
GCD(1, 817) = 817 / 817
GCD(1, 817) = 1
GCD of 239, 274, 40, 817 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 239, 274, 40, 817?
GCD of 239, 274, 40, 817 is 1
2. Where do I get the detailed procedure to find GCD of 239, 274, 40, 817?
You can find a detailed procedure to find GCD of 239, 274, 40, 817 on our page.
3. How to find GCD of 239, 274, 40, 817 on a calculator?
You can find the GCD of 239, 274, 40, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.