Online GCD Calculator is useful to find the GCD of 198, 172, 871, 320 quickly. Get the easiest ways to solve the greatest common divisor of 198, 172, 871, 320 i.e 1 in different methods as follows.
Given Input numbers are 198, 172, 871, 320
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 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 871 :
The positive integer divisors of 871 that completely divides 871 are.
1, 13, 67, 871
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
GCD of numbers is the greatest common divisor
So, the GCD (198, 172, 871, 320) = 1.
Given numbers are 198, 172, 871, 320
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 172 are 2 x 2 x 43
Prime factors of 871 are 13 x 67
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 198, 172, 871, 320
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 172) = 17028
GCD(198, 172) = ( 198 x 172 ) / 17028
= 198 / 172
= 198
Step2:
LCM(2, 871) = 1742
GCD(2, 871) = ( 2 x 871 ) / 1742
= 2 / 871
= 2
Step3:
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
= 1 / 320
= 1
So, Greatest Common Divisor of 198, 172, 871, 320 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 172, 871, 320
The greatest common divisor of numbers 198, 172, 871, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 172, 871, 320 is 1.
1. What is the GCD of 198, 172, 871, 320?
GCD of given numbers 198, 172, 871, 320 is 1
2. How to calculate the greatest common divisor of 198, 172, 871, 320?
We can find the highest common divisor of 198, 172, 871, 320 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, 172, 871, 320 i.e 1.
3. How can I use the GCD of 198, 172, 871, 320Calculator?
Out the numbers 198, 172, 871, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.