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 204, 930, 387, 695 i.e. 1 largest integer that divides all the numbers equally.
GCD of 204, 930, 387, 695 is 1
GCD(204, 930, 387, 695) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 204, 930, 387, 695 is 1
GCD(204, 930, 387, 695) = 1
Given Input numbers are 204, 930, 387, 695
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 930
List of positive integer divisors of 930 that divides 930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Greatest Common Divisior
We found the divisors of 204, 930, 387, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 930, 387, 695 is 1.
Therefore, GCD of numbers 204, 930, 387, 695 is 1
Given Input Data is 204, 930, 387, 695
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 930 is 2 x 3 x 5 x 31
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 695 is 5 x 139
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(204, 930) = 31620
GCD(204, 930) = ( 204 x 930 ) / 31620
GCD(204, 930) = 189720 / 31620
GCD(204, 930) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 387
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 387) = 774
GCD(6, 387) = ( 6 x 387 ) / 774
GCD(6, 387) = 2322 / 774
GCD(6, 387) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 695
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 695) = 2085
GCD(3, 695) = ( 3 x 695 ) / 2085
GCD(3, 695) = 2085 / 2085
GCD(3, 695) = 1
GCD of 204, 930, 387, 695 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 204, 930, 387, 695?
GCD of 204, 930, 387, 695 is 1
2. Where do I get the detailed procedure to find GCD of 204, 930, 387, 695?
You can find a detailed procedure to find GCD of 204, 930, 387, 695 on our page.
3. How to find GCD of 204, 930, 387, 695 on a calculator?
You can find the GCD of 204, 930, 387, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.