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 567, 682, 18, 123 i.e. 1 largest integer that divides all the numbers equally.
GCD of 567, 682, 18, 123 is 1
GCD(567, 682, 18, 123) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 567, 682, 18, 123 is 1
GCD(567, 682, 18, 123) = 1
Given Input numbers are 567, 682, 18, 123
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Greatest Common Divisior
We found the divisors of 567, 682, 18, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 682, 18, 123 is 1.
Therefore, GCD of numbers 567, 682, 18, 123 is 1
Given Input Data is 567, 682, 18, 123
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 123 is 3 x 41
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(567, 682) = 386694
GCD(567, 682) = ( 567 x 682 ) / 386694
GCD(567, 682) = 386694 / 386694
GCD(567, 682) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 123
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
GCD(1, 123) = 123 / 123
GCD(1, 123) = 1
GCD of 567, 682, 18, 123 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 567, 682, 18, 123?
GCD of 567, 682, 18, 123 is 1
2. Where do I get the detailed procedure to find GCD of 567, 682, 18, 123?
You can find a detailed procedure to find GCD of 567, 682, 18, 123 on our page.
3. How to find GCD of 567, 682, 18, 123 on a calculator?
You can find the GCD of 567, 682, 18, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.