Online GCD Calculator is useful to find the GCD of 684, 258, 927, 879 quickly. Get the easiest ways to solve the greatest common divisor of 684, 258, 927, 879 i.e 3 in different methods as follows.
Given Input numbers are 684, 258, 927, 879
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 258 :
The positive integer divisors of 258 that completely divides 258 are.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 927 :
The positive integer divisors of 927 that completely divides 927 are.
1, 3, 9, 103, 309, 927
Divisors of 879 :
The positive integer divisors of 879 that completely divides 879 are.
1, 3, 293, 879
GCD of numbers is the greatest common divisor
So, the GCD (684, 258, 927, 879) = 3.
Given numbers are 684, 258, 927, 879
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 258 are 2 x 3 x 43
Prime factors of 927 are 3 x 3 x 103
Prime factors of 879 are 3 x 293
The highest common occurrence is 31
Therefore, GCD of 684, 258, 927, 879 is 3.
Given numbers are 684, 258, 927, 879
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 258) = 29412
GCD(684, 258) = ( 684 x 258 ) / 29412
= 684 / 258
= 684
Step2:
LCM(6, 927) = 1854
GCD(6, 927) = ( 6 x 927 ) / 1854
= 6 / 927
= 6
Step3:
LCM(3, 879) = 879
GCD(3, 879) = ( 3 x 879 ) / 879
= 3 / 879
= 3
So, Greatest Common Divisor of 684, 258, 927, 879 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 258, 927, 879
The greatest common divisor of numbers 684, 258, 927, 879 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 258, 927, 879 is 3.
1. What is the GCD of 684, 258, 927, 879?
GCD of given numbers 684, 258, 927, 879 is 3
2. How to calculate the greatest common divisor of 684, 258, 927, 879?
We can find the highest common divisor of 684, 258, 927, 879 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, 258, 927, 879 i.e 3.
3. How can I use the GCD of 684, 258, 927, 879Calculator?
Out the numbers 684, 258, 927, 879 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.