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 114, 613, 627, 459 i.e. 1 largest integer that divides all the numbers equally.
GCD of 114, 613, 627, 459 is 1
GCD(114, 613, 627, 459) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 114, 613, 627, 459 is 1
GCD(114, 613, 627, 459) = 1
Given Input numbers are 114, 613, 627, 459
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
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 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Greatest Common Divisior
We found the divisors of 114, 613, 627, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 613, 627, 459 is 1.
Therefore, GCD of numbers 114, 613, 627, 459 is 1
Given Input Data is 114, 613, 627, 459
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 114 is 2 x 3 x 19
Prime Factorization of 613 is 613
Prime Factorization of 627 is 3 x 11 x 19
Prime Factorization of 459 is 3 x 3 x 3 x 17
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(114, 613) = 69882
GCD(114, 613) = ( 114 x 613 ) / 69882
GCD(114, 613) = 69882 / 69882
GCD(114, 613) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 627
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 627) = 627
GCD(1, 627) = ( 1 x 627 ) / 627
GCD(1, 627) = 627 / 627
GCD(1, 627) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 459
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 459) = 459
GCD(1, 459) = ( 1 x 459 ) / 459
GCD(1, 459) = 459 / 459
GCD(1, 459) = 1
GCD of 114, 613, 627, 459 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 114, 613, 627, 459?
GCD of 114, 613, 627, 459 is 1
2. Where do I get the detailed procedure to find GCD of 114, 613, 627, 459?
You can find a detailed procedure to find GCD of 114, 613, 627, 459 on our page.
3. How to find GCD of 114, 613, 627, 459 on a calculator?
You can find the GCD of 114, 613, 627, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.