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, 258, 598 i.e. 1 largest integer that divides all the numbers equally.
GCD of 627, 258, 598 is 1
GCD(627, 258, 598) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 627, 258, 598 is 1
GCD(627, 258, 598) = 1
Given Input numbers are 627, 258, 598
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 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Greatest Common Divisior
We found the divisors of 627, 258, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 627, 258, 598 is 1.
Therefore, GCD of numbers 627, 258, 598 is 1
Given Input Data is 627, 258, 598
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 258 is 2 x 3 x 43
Prime Factorization of 598 is 2 x 13 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(627, 258) = 53922
GCD(627, 258) = ( 627 x 258 ) / 53922
GCD(627, 258) = 161766 / 53922
GCD(627, 258) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 598
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 598) = 1794
GCD(3, 598) = ( 3 x 598 ) / 1794
GCD(3, 598) = 1794 / 1794
GCD(3, 598) = 1
GCD of 627, 258, 598 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 627, 258, 598?
GCD of 627, 258, 598 is 1
2. Where do I get the detailed procedure to find GCD of 627, 258, 598?
You can find a detailed procedure to find GCD of 627, 258, 598 on our page.
3. How to find GCD of 627, 258, 598 on a calculator?
You can find the GCD of 627, 258, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.