Online GCD Calculator is useful to find the GCD of 198, 159, 356, 991 quickly. Get the easiest ways to solve the greatest common divisor of 198, 159, 356, 991 i.e 1 in different methods as follows.
Given Input numbers are 198, 159, 356, 991
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 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 991 :
The positive integer divisors of 991 that completely divides 991 are.
1, 991
GCD of numbers is the greatest common divisor
So, the GCD (198, 159, 356, 991) = 1.
Given numbers are 198, 159, 356, 991
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 159 are 3 x 53
Prime factors of 356 are 2 x 2 x 89
Prime factors of 991 are 991
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 198, 159, 356, 991
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 159) = 10494
GCD(198, 159) = ( 198 x 159 ) / 10494
= 198 / 159
= 198
Step2:
LCM(3, 356) = 1068
GCD(3, 356) = ( 3 x 356 ) / 1068
= 3 / 356
= 3
Step3:
LCM(1, 991) = 991
GCD(1, 991) = ( 1 x 991 ) / 991
= 1 / 991
= 1
So, Greatest Common Divisor of 198, 159, 356, 991 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 159, 356, 991
The greatest common divisor of numbers 198, 159, 356, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 159, 356, 991 is 1.
1. What is the GCD of 198, 159, 356, 991?
GCD of given numbers 198, 159, 356, 991 is 1
2. How to calculate the greatest common divisor of 198, 159, 356, 991?
We can find the highest common divisor of 198, 159, 356, 991 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, 159, 356, 991 i.e 1.
3. How can I use the GCD of 198, 159, 356, 991Calculator?
Out the numbers 198, 159, 356, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.