Online GCD Calculator is useful to find the GCD of 422, 569, 989, 198 quickly. Get the easiest ways to solve the greatest common divisor of 422, 569, 989, 198 i.e 1 in different methods as follows.
Given Input numbers are 422, 569, 989, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 569 :
The positive integer divisors of 569 that completely divides 569 are.
1, 569
Divisors of 989 :
The positive integer divisors of 989 that completely divides 989 are.
1, 23, 43, 989
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 (422, 569, 989, 198) = 1.
Given numbers are 422, 569, 989, 198
The list of prime factors of all numbers are
Prime factors of 422 are 2 x 211
Prime factors of 569 are 569
Prime factors of 989 are 23 x 43
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 422, 569, 989, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(422, 569) = 240118
GCD(422, 569) = ( 422 x 569 ) / 240118
= 422 / 569
= 422
Step2:
LCM(1, 989) = 989
GCD(1, 989) = ( 1 x 989 ) / 989
= 1 / 989
= 1
Step3:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
So, Greatest Common Divisor of 422, 569, 989, 198 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 422, 569, 989, 198
The greatest common divisor of numbers 422, 569, 989, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 569, 989, 198 is 1.
1. What is the GCD of 422, 569, 989, 198?
GCD of given numbers 422, 569, 989, 198 is 1
2. How to calculate the greatest common divisor of 422, 569, 989, 198?
We can find the highest common divisor of 422, 569, 989, 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 422, 569, 989, 198 i.e 1.
3. How can I use the GCD of 422, 569, 989, 198Calculator?
Out the numbers 422, 569, 989, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.