Online GCD Calculator is useful to find the GCD of 198, 364, 842, 157 quickly. Get the easiest ways to solve the greatest common divisor of 198, 364, 842, 157 i.e 1 in different methods as follows.
Given Input numbers are 198, 364, 842, 157
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 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
Divisors of 157 :
The positive integer divisors of 157 that completely divides 157 are.
1, 157
GCD of numbers is the greatest common divisor
So, the GCD (198, 364, 842, 157) = 1.
Given numbers are 198, 364, 842, 157
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 842 are 2 x 421
Prime factors of 157 are 157
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 198, 364, 842, 157
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 364) = 36036
GCD(198, 364) = ( 198 x 364 ) / 36036
= 198 / 364
= 198
Step2:
LCM(2, 842) = 842
GCD(2, 842) = ( 2 x 842 ) / 842
= 2 / 842
= 2
Step3:
LCM(2, 157) = 314
GCD(2, 157) = ( 2 x 157 ) / 314
= 2 / 157
= 2
So, Greatest Common Divisor of 198, 364, 842, 157 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 364, 842, 157
The greatest common divisor of numbers 198, 364, 842, 157 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 364, 842, 157 is 1.
1. What is the GCD of 198, 364, 842, 157?
GCD of given numbers 198, 364, 842, 157 is 1
2. How to calculate the greatest common divisor of 198, 364, 842, 157?
We can find the highest common divisor of 198, 364, 842, 157 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, 364, 842, 157 i.e 1.
3. How can I use the GCD of 198, 364, 842, 157Calculator?
Out the numbers 198, 364, 842, 157 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.