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 627, 339, 41, 109 i.e. 1 largest integer that divides all the numbers equally.
GCD of 627, 339, 41, 109 is 1
GCD(627, 339, 41, 109) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 627, 339, 41, 109 is 1
GCD(627, 339, 41, 109) = 1
Given Input numbers are 627, 339, 41, 109
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 627
List of positive integer divisors of 627 that divides 627 without a remainder.
1, 3, 11, 19, 33, 57, 209, 627
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Greatest Common Divisior
We found the divisors of 627, 339, 41, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 627, 339, 41, 109 is 1.
Therefore, GCD of numbers 627, 339, 41, 109 is 1
Given Input Data is 627, 339, 41, 109
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 627 is 3 x 11 x 19
Prime Factorization of 339 is 3 x 113
Prime Factorization of 41 is 41
Prime Factorization of 109 is 109
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(627, 339) = 70851
GCD(627, 339) = ( 627 x 339 ) / 70851
GCD(627, 339) = 212553 / 70851
GCD(627, 339) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 41) = 123
GCD(3, 41) = ( 3 x 41 ) / 123
GCD(3, 41) = 123 / 123
GCD(3, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
GCD(1, 109) = 109 / 109
GCD(1, 109) = 1
GCD of 627, 339, 41, 109 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 627, 339, 41, 109?
GCD of 627, 339, 41, 109 is 1
2. Where do I get the detailed procedure to find GCD of 627, 339, 41, 109?
You can find a detailed procedure to find GCD of 627, 339, 41, 109 on our page.
3. How to find GCD of 627, 339, 41, 109 on a calculator?
You can find the GCD of 627, 339, 41, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.