Online GCD Calculator is useful to find the GCD of 198, 238, 558, 608 quickly. Get the easiest ways to solve the greatest common divisor of 198, 238, 558, 608 i.e 2 in different methods as follows.
Given Input numbers are 198, 238, 558, 608
In the factoring method, we have to find the divisors of all numbers
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 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
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 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
GCD of numbers is the greatest common divisor
So, the GCD (198, 238, 558, 608) = 2.
Given numbers are 198, 238, 558, 608
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 238 are 2 x 7 x 17
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
The highest common occurrence is 21
Therefore, GCD of 198, 238, 558, 608 is 2.
Given numbers are 198, 238, 558, 608
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 238) = 23562
GCD(198, 238) = ( 198 x 238 ) / 23562
= 198 / 238
= 198
Step2:
LCM(2, 558) = 558
GCD(2, 558) = ( 2 x 558 ) / 558
= 2 / 558
= 2
Step3:
LCM(2, 608) = 608
GCD(2, 608) = ( 2 x 608 ) / 608
= 2 / 608
= 2
So, Greatest Common Divisor of 198, 238, 558, 608 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 238, 558, 608
The greatest common divisor of numbers 198, 238, 558, 608 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 238, 558, 608 is 2.
1. What is the GCD of 198, 238, 558, 608?
GCD of given numbers 198, 238, 558, 608 is 2
2. How to calculate the greatest common divisor of 198, 238, 558, 608?
We can find the highest common divisor of 198, 238, 558, 608 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 198, 238, 558, 608 i.e 2.
3. How can I use the GCD of 198, 238, 558, 608Calculator?
Out the numbers 198, 238, 558, 608 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.