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 434, 687, 739, 204 i.e. 1 largest integer that divides all the numbers equally.
GCD of 434, 687, 739, 204 is 1
GCD(434, 687, 739, 204) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 434, 687, 739, 204 is 1
GCD(434, 687, 739, 204) = 1
Given Input numbers are 434, 687, 739, 204
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
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
Greatest Common Divisior
We found the divisors of 434, 687, 739, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 687, 739, 204 is 1.
Therefore, GCD of numbers 434, 687, 739, 204 is 1
Given Input Data is 434, 687, 739, 204
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 687 is 3 x 229
Prime Factorization of 739 is 739
Prime Factorization of 204 is 2 x 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(434, 687) = 298158
GCD(434, 687) = ( 434 x 687 ) / 298158
GCD(434, 687) = 298158 / 298158
GCD(434, 687) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 739
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 739) = 739
GCD(1, 739) = ( 1 x 739 ) / 739
GCD(1, 739) = 739 / 739
GCD(1, 739) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 204
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 204) = 204
GCD(1, 204) = ( 1 x 204 ) / 204
GCD(1, 204) = 204 / 204
GCD(1, 204) = 1
GCD of 434, 687, 739, 204 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 434, 687, 739, 204?
GCD of 434, 687, 739, 204 is 1
2. Where do I get the detailed procedure to find GCD of 434, 687, 739, 204?
You can find a detailed procedure to find GCD of 434, 687, 739, 204 on our page.
3. How to find GCD of 434, 687, 739, 204 on a calculator?
You can find the GCD of 434, 687, 739, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.