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 27, 699, 339, 619 i.e. 1 largest integer that divides all the numbers equally.
GCD of 27, 699, 339, 619 is 1
GCD(27, 699, 339, 619) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 27, 699, 339, 619 is 1
GCD(27, 699, 339, 619) = 1
Given Input numbers are 27, 699, 339, 619
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 619
List of positive integer divisors of 619 that divides 619 without a remainder.
1, 619
Greatest Common Divisior
We found the divisors of 27, 699, 339, 619 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 699, 339, 619 is 1.
Therefore, GCD of numbers 27, 699, 339, 619 is 1
Given Input Data is 27, 699, 339, 619
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 699 is 3 x 233
Prime Factorization of 339 is 3 x 113
Prime Factorization of 619 is 619
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(27, 699) = 6291
GCD(27, 699) = ( 27 x 699 ) / 6291
GCD(27, 699) = 18873 / 6291
GCD(27, 699) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 339) = 339
GCD(3, 339) = ( 3 x 339 ) / 339
GCD(3, 339) = 1017 / 339
GCD(3, 339) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 619
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 619) = 1857
GCD(3, 619) = ( 3 x 619 ) / 1857
GCD(3, 619) = 1857 / 1857
GCD(3, 619) = 1
GCD of 27, 699, 339, 619 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 27, 699, 339, 619?
GCD of 27, 699, 339, 619 is 1
2. Where do I get the detailed procedure to find GCD of 27, 699, 339, 619?
You can find a detailed procedure to find GCD of 27, 699, 339, 619 on our page.
3. How to find GCD of 27, 699, 339, 619 on a calculator?
You can find the GCD of 27, 699, 339, 619 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.