Online GCD Calculator is useful to find the GCD of 684, 408, 321, 665 quickly. Get the easiest ways to solve the greatest common divisor of 684, 408, 321, 665 i.e 1 in different methods as follows.
Given Input numbers are 684, 408, 321, 665
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 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 665 :
The positive integer divisors of 665 that completely divides 665 are.
1, 5, 7, 19, 35, 95, 133, 665
GCD of numbers is the greatest common divisor
So, the GCD (684, 408, 321, 665) = 1.
Given numbers are 684, 408, 321, 665
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 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 321 are 3 x 107
Prime factors of 665 are 5 x 7 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 684, 408, 321, 665
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 408) = 23256
GCD(684, 408) = ( 684 x 408 ) / 23256
= 684 / 408
= 684
Step2:
LCM(12, 321) = 1284
GCD(12, 321) = ( 12 x 321 ) / 1284
= 12 / 321
= 12
Step3:
LCM(3, 665) = 1995
GCD(3, 665) = ( 3 x 665 ) / 1995
= 3 / 665
= 3
So, Greatest Common Divisor of 684, 408, 321, 665 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 408, 321, 665
The greatest common divisor of numbers 684, 408, 321, 665 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 408, 321, 665 is 1.
1. What is the GCD of 684, 408, 321, 665?
GCD of given numbers 684, 408, 321, 665 is 1
2. How to calculate the greatest common divisor of 684, 408, 321, 665?
We can find the highest common divisor of 684, 408, 321, 665 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, 408, 321, 665 i.e 1.
3. How can I use the GCD of 684, 408, 321, 665Calculator?
Out the numbers 684, 408, 321, 665 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.