Online GCD Calculator is useful to find the GCD of 188, 744, 198, 638 quickly. Get the easiest ways to solve the greatest common divisor of 188, 744, 198, 638 i.e 2 in different methods as follows.
Given Input numbers are 188, 744, 198, 638
In the factoring method, we have to find the divisors of all numbers
Divisors of 188 :
The positive integer divisors of 188 that completely divides 188 are.
1, 2, 4, 47, 94, 188
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
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 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
GCD of numbers is the greatest common divisor
So, the GCD (188, 744, 198, 638) = 2.
Given numbers are 188, 744, 198, 638
The list of prime factors of all numbers are
Prime factors of 188 are 2 x 2 x 47
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 638 are 2 x 11 x 29
The highest common occurrence is 21
Therefore, GCD of 188, 744, 198, 638 is 2.
Given numbers are 188, 744, 198, 638
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(188, 744) = 34968
GCD(188, 744) = ( 188 x 744 ) / 34968
= 188 / 744
= 188
Step2:
LCM(4, 198) = 396
GCD(4, 198) = ( 4 x 198 ) / 396
= 4 / 198
= 4
Step3:
LCM(2, 638) = 638
GCD(2, 638) = ( 2 x 638 ) / 638
= 2 / 638
= 2
So, Greatest Common Divisor of 188, 744, 198, 638 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 188, 744, 198, 638
The greatest common divisor of numbers 188, 744, 198, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 188, 744, 198, 638 is 2.
1. What is the GCD of 188, 744, 198, 638?
GCD of given numbers 188, 744, 198, 638 is 2
2. How to calculate the greatest common divisor of 188, 744, 198, 638?
We can find the highest common divisor of 188, 744, 198, 638 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 188, 744, 198, 638 i.e 2.
3. How can I use the GCD of 188, 744, 198, 638Calculator?
Out the numbers 188, 744, 198, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.