Online GCD Calculator is useful to find the GCD of 229, 605, 138, 231 quickly. Get the easiest ways to solve the greatest common divisor of 229, 605, 138, 231 i.e 1 in different methods as follows.
Given Input numbers are 229, 605, 138, 231
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 605 :
The positive integer divisors of 605 that completely divides 605 are.
1, 5, 11, 55, 121, 605
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
GCD of numbers is the greatest common divisor
So, the GCD (229, 605, 138, 231) = 1.
Given numbers are 229, 605, 138, 231
The list of prime factors of all numbers are
Prime factors of 229 are 229
Prime factors of 605 are 5 x 11 x 11
Prime factors of 138 are 2 x 3 x 23
Prime factors of 231 are 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 229, 605, 138, 231
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(229, 605) = 138545
GCD(229, 605) = ( 229 x 605 ) / 138545
= 229 / 605
= 229
Step2:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
Step3:
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
= 1 / 231
= 1
So, Greatest Common Divisor of 229, 605, 138, 231 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 229, 605, 138, 231
The greatest common divisor of numbers 229, 605, 138, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 229, 605, 138, 231 is 1.
1. What is the GCD of 229, 605, 138, 231?
GCD of given numbers 229, 605, 138, 231 is 1
2. How to calculate the greatest common divisor of 229, 605, 138, 231?
We can find the highest common divisor of 229, 605, 138, 231 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, 605, 138, 231 i.e 1.
3. How can I use the GCD of 229, 605, 138, 231Calculator?
Out the numbers 229, 605, 138, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.