Online GCD Calculator is useful to find the GCD of 894, 231, 129, 558 quickly. Get the easiest ways to solve the greatest common divisor of 894, 231, 129, 558 i.e 3 in different methods as follows.
Given Input numbers are 894, 231, 129, 558
In the factoring method, we have to find the divisors of all numbers
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
GCD of numbers is the greatest common divisor
So, the GCD (894, 231, 129, 558) = 3.
Given numbers are 894, 231, 129, 558
The list of prime factors of all numbers are
Prime factors of 894 are 2 x 3 x 149
Prime factors of 231 are 3 x 7 x 11
Prime factors of 129 are 3 x 43
Prime factors of 558 are 2 x 3 x 3 x 31
The highest common occurrence is 31
Therefore, GCD of 894, 231, 129, 558 is 3.
Given numbers are 894, 231, 129, 558
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(894, 231) = 68838
GCD(894, 231) = ( 894 x 231 ) / 68838
= 894 / 231
= 894
Step2:
LCM(3, 129) = 129
GCD(3, 129) = ( 3 x 129 ) / 129
= 3 / 129
= 3
Step3:
LCM(3, 558) = 558
GCD(3, 558) = ( 3 x 558 ) / 558
= 3 / 558
= 3
So, Greatest Common Divisor of 894, 231, 129, 558 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 894, 231, 129, 558
The greatest common divisor of numbers 894, 231, 129, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 231, 129, 558 is 3.
1. What is the GCD of 894, 231, 129, 558?
GCD of given numbers 894, 231, 129, 558 is 3
2. How to calculate the greatest common divisor of 894, 231, 129, 558?
We can find the highest common divisor of 894, 231, 129, 558 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 894, 231, 129, 558 i.e 3.
3. How can I use the GCD of 894, 231, 129, 558Calculator?
Out the numbers 894, 231, 129, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.