Online GCD Calculator is useful to find the GCD of 198, 174, 638, 871 quickly. Get the easiest ways to solve the greatest common divisor of 198, 174, 638, 871 i.e 1 in different methods as follows.
Given Input numbers are 198, 174, 638, 871
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 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 871 :
The positive integer divisors of 871 that completely divides 871 are.
1, 13, 67, 871
GCD of numbers is the greatest common divisor
So, the GCD (198, 174, 638, 871) = 1.
Given numbers are 198, 174, 638, 871
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 174 are 2 x 3 x 29
Prime factors of 638 are 2 x 11 x 29
Prime factors of 871 are 13 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 198, 174, 638, 871
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 174) = 5742
GCD(198, 174) = ( 198 x 174 ) / 5742
= 198 / 174
= 198
Step2:
LCM(6, 638) = 1914
GCD(6, 638) = ( 6 x 638 ) / 1914
= 6 / 638
= 6
Step3:
LCM(2, 871) = 1742
GCD(2, 871) = ( 2 x 871 ) / 1742
= 2 / 871
= 2
So, Greatest Common Divisor of 198, 174, 638, 871 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 174, 638, 871
The greatest common divisor of numbers 198, 174, 638, 871 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 174, 638, 871 is 1.
1. What is the GCD of 198, 174, 638, 871?
GCD of given numbers 198, 174, 638, 871 is 1
2. How to calculate the greatest common divisor of 198, 174, 638, 871?
We can find the highest common divisor of 198, 174, 638, 871 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, 174, 638, 871 i.e 1.
3. How can I use the GCD of 198, 174, 638, 871Calculator?
Out the numbers 198, 174, 638, 871 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.