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, 203, 76, 395 i.e. 1 largest integer that divides all the numbers equally.
GCD of 678, 203, 76, 395 is 1
GCD(678, 203, 76, 395) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 678, 203, 76, 395 is 1
GCD(678, 203, 76, 395) = 1
Given Input numbers are 678, 203, 76, 395
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 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Greatest Common Divisior
We found the divisors of 678, 203, 76, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 203, 76, 395 is 1.
Therefore, GCD of numbers 678, 203, 76, 395 is 1
Given Input Data is 678, 203, 76, 395
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 203 is 7 x 29
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 395 is 5 x 79
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, 203) = 137634
GCD(678, 203) = ( 678 x 203 ) / 137634
GCD(678, 203) = 137634 / 137634
GCD(678, 203) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 395
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 395) = 395
GCD(1, 395) = ( 1 x 395 ) / 395
GCD(1, 395) = 395 / 395
GCD(1, 395) = 1
GCD of 678, 203, 76, 395 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 678, 203, 76, 395?
GCD of 678, 203, 76, 395 is 1
2. Where do I get the detailed procedure to find GCD of 678, 203, 76, 395?
You can find a detailed procedure to find GCD of 678, 203, 76, 395 on our page.
3. How to find GCD of 678, 203, 76, 395 on a calculator?
You can find the GCD of 678, 203, 76, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.