Online GCD Calculator is useful to find the GCD of 684, 206, 580, 808 quickly. Get the easiest ways to solve the greatest common divisor of 684, 206, 580, 808 i.e 2 in different methods as follows.
Given Input numbers are 684, 206, 580, 808
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 206 :
The positive integer divisors of 206 that completely divides 206 are.
1, 2, 103, 206
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 808 :
The positive integer divisors of 808 that completely divides 808 are.
1, 2, 4, 8, 101, 202, 404, 808
GCD of numbers is the greatest common divisor
So, the GCD (684, 206, 580, 808) = 2.
Given numbers are 684, 206, 580, 808
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 206 are 2 x 103
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 808 are 2 x 2 x 2 x 101
The highest common occurrence is 21
Therefore, GCD of 684, 206, 580, 808 is 2.
Given numbers are 684, 206, 580, 808
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 206) = 70452
GCD(684, 206) = ( 684 x 206 ) / 70452
= 684 / 206
= 684
Step2:
LCM(2, 580) = 580
GCD(2, 580) = ( 2 x 580 ) / 580
= 2 / 580
= 2
Step3:
LCM(2, 808) = 808
GCD(2, 808) = ( 2 x 808 ) / 808
= 2 / 808
= 2
So, Greatest Common Divisor of 684, 206, 580, 808 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 206, 580, 808
The greatest common divisor of numbers 684, 206, 580, 808 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 206, 580, 808 is 2.
1. What is the GCD of 684, 206, 580, 808?
GCD of given numbers 684, 206, 580, 808 is 2
2. How to calculate the greatest common divisor of 684, 206, 580, 808?
We can find the highest common divisor of 684, 206, 580, 808 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, 206, 580, 808 i.e 2.
3. How can I use the GCD of 684, 206, 580, 808Calculator?
Out the numbers 684, 206, 580, 808 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.