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, 378, 11, 518 i.e. 1 largest integer that divides all the numbers equally.
GCD of 567, 378, 11, 518 is 1
GCD(567, 378, 11, 518) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 567, 378, 11, 518 is 1
GCD(567, 378, 11, 518) = 1
Given Input numbers are 567, 378, 11, 518
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 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Greatest Common Divisior
We found the divisors of 567, 378, 11, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 378, 11, 518 is 1.
Therefore, GCD of numbers 567, 378, 11, 518 is 1
Given Input Data is 567, 378, 11, 518
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 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 11 is 11
Prime Factorization of 518 is 2 x 7 x 37
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, 378) = 1134
GCD(567, 378) = ( 567 x 378 ) / 1134
GCD(567, 378) = 214326 / 1134
GCD(567, 378) = 189
Step2:
Here we consider the GCD from the above i.e. 189 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(189, 11) = 2079
GCD(189, 11) = ( 189 x 11 ) / 2079
GCD(189, 11) = 2079 / 2079
GCD(189, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 518
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 518) = 518
GCD(1, 518) = ( 1 x 518 ) / 518
GCD(1, 518) = 518 / 518
GCD(1, 518) = 1
GCD of 567, 378, 11, 518 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 567, 378, 11, 518?
GCD of 567, 378, 11, 518 is 1
2. Where do I get the detailed procedure to find GCD of 567, 378, 11, 518?
You can find a detailed procedure to find GCD of 567, 378, 11, 518 on our page.
3. How to find GCD of 567, 378, 11, 518 on a calculator?
You can find the GCD of 567, 378, 11, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.