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 186, 690, 623 i.e. 1 largest integer that divides all the numbers equally.
GCD of 186, 690, 623 is 1
GCD(186, 690, 623) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 186, 690, 623 is 1
GCD(186, 690, 623) = 1
Given Input numbers are 186, 690, 623
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 186
List of positive integer divisors of 186 that divides 186 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 623
List of positive integer divisors of 623 that divides 623 without a remainder.
1, 7, 89, 623
Greatest Common Divisior
We found the divisors of 186, 690, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 186, 690, 623 is 1.
Therefore, GCD of numbers 186, 690, 623 is 1
Given Input Data is 186, 690, 623
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 186 is 2 x 3 x 31
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 623 is 7 x 89
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(186, 690) = 21390
GCD(186, 690) = ( 186 x 690 ) / 21390
GCD(186, 690) = 128340 / 21390
GCD(186, 690) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 623
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 623) = 3738
GCD(6, 623) = ( 6 x 623 ) / 3738
GCD(6, 623) = 3738 / 3738
GCD(6, 623) = 1
GCD of 186, 690, 623 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 186, 690, 623?
GCD of 186, 690, 623 is 1
2. Where do I get the detailed procedure to find GCD of 186, 690, 623?
You can find a detailed procedure to find GCD of 186, 690, 623 on our page.
3. How to find GCD of 186, 690, 623 on a calculator?
You can find the GCD of 186, 690, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.