Online GCD Calculator is useful to find the GCD of 684, 398, 189 quickly. Get the easiest ways to solve the greatest common divisor of 684, 398, 189 i.e 1 in different methods as follows.
Given Input numbers are 684, 398, 189
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 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
GCD of numbers is the greatest common divisor
So, the GCD (684, 398, 189) = 1.
Given numbers are 684, 398, 189
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 398 are 2 x 199
Prime factors of 189 are 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 684, 398, 189
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 398) = 136116
GCD(684, 398) = ( 684 x 398 ) / 136116
= 684 / 398
= 684
Step2:
LCM(2, 189) = 378
GCD(2, 189) = ( 2 x 189 ) / 378
= 2 / 189
= 2
So, Greatest Common Divisor of 684, 398, 189 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 398, 189
The greatest common divisor of numbers 684, 398, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 398, 189 is 1.
1. What is the GCD of 684, 398, 189?
GCD of given numbers 684, 398, 189 is 1
2. How to calculate the greatest common divisor of 684, 398, 189?
We can find the highest common divisor of 684, 398, 189 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, 398, 189 i.e 1.
3. How can I use the GCD of 684, 398, 189Calculator?
Out the numbers 684, 398, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.