Online GCD Calculator is useful to find the GCD of 609, 231, 198, 635 quickly. Get the easiest ways to solve the greatest common divisor of 609, 231, 198, 635 i.e 1 in different methods as follows.
Given Input numbers are 609, 231, 198, 635
In the factoring method, we have to find the divisors of all numbers
Divisors of 609 :
The positive integer divisors of 609 that completely divides 609 are.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
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 635 :
The positive integer divisors of 635 that completely divides 635 are.
1, 5, 127, 635
GCD of numbers is the greatest common divisor
So, the GCD (609, 231, 198, 635) = 1.
Given numbers are 609, 231, 198, 635
The list of prime factors of all numbers are
Prime factors of 609 are 3 x 7 x 29
Prime factors of 231 are 3 x 7 x 11
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 635 are 5 x 127
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 609, 231, 198, 635
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(609, 231) = 6699
GCD(609, 231) = ( 609 x 231 ) / 6699
= 609 / 231
= 609
Step2:
LCM(21, 198) = 1386
GCD(21, 198) = ( 21 x 198 ) / 1386
= 21 / 198
= 21
Step3:
LCM(3, 635) = 1905
GCD(3, 635) = ( 3 x 635 ) / 1905
= 3 / 635
= 3
So, Greatest Common Divisor of 609, 231, 198, 635 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 609, 231, 198, 635
The greatest common divisor of numbers 609, 231, 198, 635 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 609, 231, 198, 635 is 1.
1. What is the GCD of 609, 231, 198, 635?
GCD of given numbers 609, 231, 198, 635 is 1
2. How to calculate the greatest common divisor of 609, 231, 198, 635?
We can find the highest common divisor of 609, 231, 198, 635 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 609, 231, 198, 635 i.e 1.
3. How can I use the GCD of 609, 231, 198, 635Calculator?
Out the numbers 609, 231, 198, 635 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.