Online GCD Calculator is useful to find the GCD of 558, 198, 660, 903 quickly. Get the easiest ways to solve the greatest common divisor of 558, 198, 660, 903 i.e 3 in different methods as follows.
Given Input numbers are 558, 198, 660, 903
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 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 903 :
The positive integer divisors of 903 that completely divides 903 are.
1, 3, 7, 21, 43, 129, 301, 903
GCD of numbers is the greatest common divisor
So, the GCD (558, 198, 660, 903) = 3.
Given numbers are 558, 198, 660, 903
The list of prime factors of all numbers are
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 903 are 3 x 7 x 43
The highest common occurrence is 31
Therefore, GCD of 558, 198, 660, 903 is 3.
Given numbers are 558, 198, 660, 903
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(558, 198) = 6138
GCD(558, 198) = ( 558 x 198 ) / 6138
= 558 / 198
= 558
Step2:
LCM(18, 660) = 1980
GCD(18, 660) = ( 18 x 660 ) / 1980
= 18 / 660
= 18
Step3:
LCM(6, 903) = 1806
GCD(6, 903) = ( 6 x 903 ) / 1806
= 6 / 903
= 6
So, Greatest Common Divisor of 558, 198, 660, 903 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 558, 198, 660, 903
The greatest common divisor of numbers 558, 198, 660, 903 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 198, 660, 903 is 3.
1. What is the GCD of 558, 198, 660, 903?
GCD of given numbers 558, 198, 660, 903 is 3
2. How to calculate the greatest common divisor of 558, 198, 660, 903?
We can find the highest common divisor of 558, 198, 660, 903 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, 198, 660, 903 i.e 3.
3. How can I use the GCD of 558, 198, 660, 903Calculator?
Out the numbers 558, 198, 660, 903 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.