Online GCD Calculator is useful to find the GCD of 229, 567, 198, 135 quickly. Get the easiest ways to solve the greatest common divisor of 229, 567, 198, 135 i.e 1 in different methods as follows.
Given Input numbers are 229, 567, 198, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 229 :
The positive integer divisors of 229 that completely divides 229 are.
1, 229
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
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 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (229, 567, 198, 135) = 1.
Given numbers are 229, 567, 198, 135
The list of prime factors of all numbers are
Prime factors of 229 are 229
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 135 are 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 229, 567, 198, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(229, 567) = 129843
GCD(229, 567) = ( 229 x 567 ) / 129843
= 229 / 567
= 229
Step2:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
Step3:
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
= 1 / 135
= 1
So, Greatest Common Divisor of 229, 567, 198, 135 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 229, 567, 198, 135
The greatest common divisor of numbers 229, 567, 198, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 229, 567, 198, 135 is 1.
1. What is the GCD of 229, 567, 198, 135?
GCD of given numbers 229, 567, 198, 135 is 1
2. How to calculate the greatest common divisor of 229, 567, 198, 135?
We can find the highest common divisor of 229, 567, 198, 135 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 229, 567, 198, 135 i.e 1.
3. How can I use the GCD of 229, 567, 198, 135Calculator?
Out the numbers 229, 567, 198, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.