Online GCD Calculator is useful to find the GCD of 684, 115, 396, 459 quickly. Get the easiest ways to solve the greatest common divisor of 684, 115, 396, 459 i.e 1 in different methods as follows.
Given Input numbers are 684, 115, 396, 459
In the factoring method, we have to find the divisors of all numbers
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 115 :
The positive integer divisors of 115 that completely divides 115 are.
1, 5, 23, 115
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 459 :
The positive integer divisors of 459 that completely divides 459 are.
1, 3, 9, 17, 27, 51, 153, 459
GCD of numbers is the greatest common divisor
So, the GCD (684, 115, 396, 459) = 1.
Given numbers are 684, 115, 396, 459
The list of prime factors of all numbers are
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 115 are 5 x 23
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 459 are 3 x 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 684, 115, 396, 459
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 115) = 78660
GCD(684, 115) = ( 684 x 115 ) / 78660
= 684 / 115
= 684
Step2:
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
= 1 / 396
= 1
Step3:
LCM(1, 459) = 459
GCD(1, 459) = ( 1 x 459 ) / 459
= 1 / 459
= 1
So, Greatest Common Divisor of 684, 115, 396, 459 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 115, 396, 459
The greatest common divisor of numbers 684, 115, 396, 459 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 115, 396, 459 is 1.
1. What is the GCD of 684, 115, 396, 459?
GCD of given numbers 684, 115, 396, 459 is 1
2. How to calculate the greatest common divisor of 684, 115, 396, 459?
We can find the highest common divisor of 684, 115, 396, 459 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 684, 115, 396, 459 i.e 1.
3. How can I use the GCD of 684, 115, 396, 459Calculator?
Out the numbers 684, 115, 396, 459 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.