Online GCD Calculator is useful to find the GCD of 684, 213, 585 quickly. Get the easiest ways to solve the greatest common divisor of 684, 213, 585 i.e 3 in different methods as follows.
Given Input numbers are 684, 213, 585
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 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
GCD of numbers is the greatest common divisor
So, the GCD (684, 213, 585) = 3.
Given numbers are 684, 213, 585
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 213 are 3 x 71
Prime factors of 585 are 3 x 3 x 5 x 13
The highest common occurrence is 31
Therefore, GCD of 684, 213, 585 is 3.
Given numbers are 684, 213, 585
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 213) = 48564
GCD(684, 213) = ( 684 x 213 ) / 48564
= 684 / 213
= 684
Step2:
LCM(3, 585) = 585
GCD(3, 585) = ( 3 x 585 ) / 585
= 3 / 585
= 3
So, Greatest Common Divisor of 684, 213, 585 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 213, 585
The greatest common divisor of numbers 684, 213, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 213, 585 is 3.
1. What is the GCD of 684, 213, 585?
GCD of given numbers 684, 213, 585 is 3
2. How to calculate the greatest common divisor of 684, 213, 585?
We can find the highest common divisor of 684, 213, 585 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, 213, 585 i.e 3.
3. How can I use the GCD of 684, 213, 585Calculator?
Out the numbers 684, 213, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.