Online GCD Calculator is useful to find the GCD of 558, 872, 318, 706 quickly. Get the easiest ways to solve the greatest common divisor of 558, 872, 318, 706 i.e 2 in different methods as follows.
Given Input numbers are 558, 872, 318, 706
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
GCD of numbers is the greatest common divisor
So, the GCD (558, 872, 318, 706) = 2.
Given numbers are 558, 872, 318, 706
The list of prime factors of all numbers are
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 318 are 2 x 3 x 53
Prime factors of 706 are 2 x 353
The highest common occurrence is 21
Therefore, GCD of 558, 872, 318, 706 is 2.
Given numbers are 558, 872, 318, 706
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(558, 872) = 243288
GCD(558, 872) = ( 558 x 872 ) / 243288
= 558 / 872
= 558
Step2:
LCM(2, 318) = 318
GCD(2, 318) = ( 2 x 318 ) / 318
= 2 / 318
= 2
Step3:
LCM(2, 706) = 706
GCD(2, 706) = ( 2 x 706 ) / 706
= 2 / 706
= 2
So, Greatest Common Divisor of 558, 872, 318, 706 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 558, 872, 318, 706
The greatest common divisor of numbers 558, 872, 318, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 872, 318, 706 is 2.
1. What is the GCD of 558, 872, 318, 706?
GCD of given numbers 558, 872, 318, 706 is 2
2. How to calculate the greatest common divisor of 558, 872, 318, 706?
We can find the highest common divisor of 558, 872, 318, 706 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 558, 872, 318, 706 i.e 2.
3. How can I use the GCD of 558, 872, 318, 706Calculator?
Out the numbers 558, 872, 318, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.