Online GCD Calculator is useful to find the GCD of 589, 432, 198, 126 quickly. Get the easiest ways to solve the greatest common divisor of 589, 432, 198, 126 i.e 1 in different methods as follows.
Given Input numbers are 589, 432, 198, 126
In the factoring method, we have to find the divisors of all numbers
Divisors of 589 :
The positive integer divisors of 589 that completely divides 589 are.
1, 19, 31, 589
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
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 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCD of numbers is the greatest common divisor
So, the GCD (589, 432, 198, 126) = 1.
Given numbers are 589, 432, 198, 126
The list of prime factors of all numbers are
Prime factors of 589 are 19 x 31
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 126 are 2 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 589, 432, 198, 126
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(589, 432) = 254448
GCD(589, 432) = ( 589 x 432 ) / 254448
= 589 / 432
= 589
Step2:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
Step3:
LCM(1, 126) = 126
GCD(1, 126) = ( 1 x 126 ) / 126
= 1 / 126
= 1
So, Greatest Common Divisor of 589, 432, 198, 126 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 589, 432, 198, 126
The greatest common divisor of numbers 589, 432, 198, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 589, 432, 198, 126 is 1.
1. What is the GCD of 589, 432, 198, 126?
GCD of given numbers 589, 432, 198, 126 is 1
2. How to calculate the greatest common divisor of 589, 432, 198, 126?
We can find the highest common divisor of 589, 432, 198, 126 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 589, 432, 198, 126 i.e 1.
3. How can I use the GCD of 589, 432, 198, 126Calculator?
Out the numbers 589, 432, 198, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.