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 678, 867, 78, 697 i.e. 1 largest integer that divides all the numbers equally.
GCD of 678, 867, 78, 697 is 1
GCD(678, 867, 78, 697) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 678, 867, 78, 697 is 1
GCD(678, 867, 78, 697) = 1
Given Input numbers are 678, 867, 78, 697
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Greatest Common Divisior
We found the divisors of 678, 867, 78, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 867, 78, 697 is 1.
Therefore, GCD of numbers 678, 867, 78, 697 is 1
Given Input Data is 678, 867, 78, 697
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 697 is 17 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(678, 867) = 195942
GCD(678, 867) = ( 678 x 867 ) / 195942
GCD(678, 867) = 587826 / 195942
GCD(678, 867) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 78) = 78
GCD(3, 78) = ( 3 x 78 ) / 78
GCD(3, 78) = 234 / 78
GCD(3, 78) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 697
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 697) = 2091
GCD(3, 697) = ( 3 x 697 ) / 2091
GCD(3, 697) = 2091 / 2091
GCD(3, 697) = 1
GCD of 678, 867, 78, 697 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 678, 867, 78, 697?
GCD of 678, 867, 78, 697 is 1
2. Where do I get the detailed procedure to find GCD of 678, 867, 78, 697?
You can find a detailed procedure to find GCD of 678, 867, 78, 697 on our page.
3. How to find GCD of 678, 867, 78, 697 on a calculator?
You can find the GCD of 678, 867, 78, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.