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 684, 376, 34, 439 i.e. 1 largest integer that divides all the numbers equally.
GCD of 684, 376, 34, 439 is 1
GCD(684, 376, 34, 439) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 684, 376, 34, 439 is 1
GCD(684, 376, 34, 439) = 1
Given Input numbers are 684, 376, 34, 439
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 439
List of positive integer divisors of 439 that divides 439 without a remainder.
1, 439
Greatest Common Divisior
We found the divisors of 684, 376, 34, 439 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 376, 34, 439 is 1.
Therefore, GCD of numbers 684, 376, 34, 439 is 1
Given Input Data is 684, 376, 34, 439
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 34 is 2 x 17
Prime Factorization of 439 is 439
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(684, 376) = 64296
GCD(684, 376) = ( 684 x 376 ) / 64296
GCD(684, 376) = 257184 / 64296
GCD(684, 376) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 34) = 68
GCD(4, 34) = ( 4 x 34 ) / 68
GCD(4, 34) = 136 / 68
GCD(4, 34) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 439
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 439) = 878
GCD(2, 439) = ( 2 x 439 ) / 878
GCD(2, 439) = 878 / 878
GCD(2, 439) = 1
GCD of 684, 376, 34, 439 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 684, 376, 34, 439?
GCD of 684, 376, 34, 439 is 1
2. Where do I get the detailed procedure to find GCD of 684, 376, 34, 439?
You can find a detailed procedure to find GCD of 684, 376, 34, 439 on our page.
3. How to find GCD of 684, 376, 34, 439 on a calculator?
You can find the GCD of 684, 376, 34, 439 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.