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, 168, 866, 102 i.e. 1 largest integer that divides all the numbers equally.
GCD of 567, 168, 866, 102 is 1
GCD(567, 168, 866, 102) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 567, 168, 866, 102 is 1
GCD(567, 168, 866, 102) = 1
Given Input numbers are 567, 168, 866, 102
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 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 866
List of positive integer divisors of 866 that divides 866 without a remainder.
1, 2, 433, 866
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Greatest Common Divisior
We found the divisors of 567, 168, 866, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 168, 866, 102 is 1.
Therefore, GCD of numbers 567, 168, 866, 102 is 1
Given Input Data is 567, 168, 866, 102
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 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 866 is 2 x 433
Prime Factorization of 102 is 2 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(567, 168) = 4536
GCD(567, 168) = ( 567 x 168 ) / 4536
GCD(567, 168) = 95256 / 4536
GCD(567, 168) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 866
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 866) = 18186
GCD(21, 866) = ( 21 x 866 ) / 18186
GCD(21, 866) = 18186 / 18186
GCD(21, 866) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 102
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 102) = 102
GCD(1, 102) = ( 1 x 102 ) / 102
GCD(1, 102) = 102 / 102
GCD(1, 102) = 1
GCD of 567, 168, 866, 102 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 567, 168, 866, 102?
GCD of 567, 168, 866, 102 is 1
2. Where do I get the detailed procedure to find GCD of 567, 168, 866, 102?
You can find a detailed procedure to find GCD of 567, 168, 866, 102 on our page.
3. How to find GCD of 567, 168, 866, 102 on a calculator?
You can find the GCD of 567, 168, 866, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.