Online GCD Calculator is useful to find the GCD of 558, 310, 182, 966 quickly. Get the easiest ways to solve the greatest common divisor of 558, 310, 182, 966 i.e 2 in different methods as follows.
Given Input numbers are 558, 310, 182, 966
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 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
GCD of numbers is the greatest common divisor
So, the GCD (558, 310, 182, 966) = 2.
Given numbers are 558, 310, 182, 966
The list of prime factors of all numbers are
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 310 are 2 x 5 x 31
Prime factors of 182 are 2 x 7 x 13
Prime factors of 966 are 2 x 3 x 7 x 23
The highest common occurrence is 21
Therefore, GCD of 558, 310, 182, 966 is 2.
Given numbers are 558, 310, 182, 966
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(558, 310) = 2790
GCD(558, 310) = ( 558 x 310 ) / 2790
= 558 / 310
= 558
Step2:
LCM(62, 182) = 5642
GCD(62, 182) = ( 62 x 182 ) / 5642
= 62 / 182
= 62
Step3:
LCM(2, 966) = 966
GCD(2, 966) = ( 2 x 966 ) / 966
= 2 / 966
= 2
So, Greatest Common Divisor of 558, 310, 182, 966 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 558, 310, 182, 966
The greatest common divisor of numbers 558, 310, 182, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 310, 182, 966 is 2.
1. What is the GCD of 558, 310, 182, 966?
GCD of given numbers 558, 310, 182, 966 is 2
2. How to calculate the greatest common divisor of 558, 310, 182, 966?
We can find the highest common divisor of 558, 310, 182, 966 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, 310, 182, 966 i.e 2.
3. How can I use the GCD of 558, 310, 182, 966Calculator?
Out the numbers 558, 310, 182, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.