Online GCD Calculator is useful to find the GCD of 238, 671, 756, 198 quickly. Get the easiest ways to solve the greatest common divisor of 238, 671, 756, 198 i.e 1 in different methods as follows.
Given Input numbers are 238, 671, 756, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 671 :
The positive integer divisors of 671 that completely divides 671 are.
1, 11, 61, 671
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
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
GCD of numbers is the greatest common divisor
So, the GCD (238, 671, 756, 198) = 1.
Given numbers are 238, 671, 756, 198
The list of prime factors of all numbers are
Prime factors of 238 are 2 x 7 x 17
Prime factors of 671 are 11 x 61
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 198 are 2 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 238, 671, 756, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(238, 671) = 159698
GCD(238, 671) = ( 238 x 671 ) / 159698
= 238 / 671
= 238
Step2:
LCM(1, 756) = 756
GCD(1, 756) = ( 1 x 756 ) / 756
= 1 / 756
= 1
Step3:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
So, Greatest Common Divisor of 238, 671, 756, 198 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 238, 671, 756, 198
The greatest common divisor of numbers 238, 671, 756, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 671, 756, 198 is 1.
1. What is the GCD of 238, 671, 756, 198?
GCD of given numbers 238, 671, 756, 198 is 1
2. How to calculate the greatest common divisor of 238, 671, 756, 198?
We can find the highest common divisor of 238, 671, 756, 198 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 238, 671, 756, 198 i.e 1.
3. How can I use the GCD of 238, 671, 756, 198Calculator?
Out the numbers 238, 671, 756, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.