Online GCD Calculator is useful to find the GCD of 684, 578, 318, 682 quickly. Get the easiest ways to solve the greatest common divisor of 684, 578, 318, 682 i.e 2 in different methods as follows.
Given Input numbers are 684, 578, 318, 682
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 578 :
The positive integer divisors of 578 that completely divides 578 are.
1, 2, 17, 34, 289, 578
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
GCD of numbers is the greatest common divisor
So, the GCD (684, 578, 318, 682) = 2.
Given numbers are 684, 578, 318, 682
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 578 are 2 x 17 x 17
Prime factors of 318 are 2 x 3 x 53
Prime factors of 682 are 2 x 11 x 31
The highest common occurrence is 21
Therefore, GCD of 684, 578, 318, 682 is 2.
Given numbers are 684, 578, 318, 682
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 578) = 197676
GCD(684, 578) = ( 684 x 578 ) / 197676
= 684 / 578
= 684
Step2:
LCM(2, 318) = 318
GCD(2, 318) = ( 2 x 318 ) / 318
= 2 / 318
= 2
Step3:
LCM(2, 682) = 682
GCD(2, 682) = ( 2 x 682 ) / 682
= 2 / 682
= 2
So, Greatest Common Divisor of 684, 578, 318, 682 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 578, 318, 682
The greatest common divisor of numbers 684, 578, 318, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 578, 318, 682 is 2.
1. What is the GCD of 684, 578, 318, 682?
GCD of given numbers 684, 578, 318, 682 is 2
2. How to calculate the greatest common divisor of 684, 578, 318, 682?
We can find the highest common divisor of 684, 578, 318, 682 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, 578, 318, 682 i.e 2.
3. How can I use the GCD of 684, 578, 318, 682Calculator?
Out the numbers 684, 578, 318, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.