Online GCD Calculator is useful to find the GCD of 432, 204, 238, 909 quickly. Get the easiest ways to solve the greatest common divisor of 432, 204, 238, 909 i.e 1 in different methods as follows.
Given Input numbers are 432, 204, 238, 909
In the factoring method, we have to find the divisors of all numbers
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 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
GCD of numbers is the greatest common divisor
So, the GCD (432, 204, 238, 909) = 1.
Given numbers are 432, 204, 238, 909
The list of prime factors of all numbers are
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 238 are 2 x 7 x 17
Prime factors of 909 are 3 x 3 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 432, 204, 238, 909
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 204) = 7344
GCD(432, 204) = ( 432 x 204 ) / 7344
= 432 / 204
= 432
Step2:
LCM(12, 238) = 1428
GCD(12, 238) = ( 12 x 238 ) / 1428
= 12 / 238
= 12
Step3:
LCM(2, 909) = 1818
GCD(2, 909) = ( 2 x 909 ) / 1818
= 2 / 909
= 2
So, Greatest Common Divisor of 432, 204, 238, 909 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 204, 238, 909
The greatest common divisor of numbers 432, 204, 238, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 204, 238, 909 is 1.
1. What is the GCD of 432, 204, 238, 909?
GCD of given numbers 432, 204, 238, 909 is 1
2. How to calculate the greatest common divisor of 432, 204, 238, 909?
We can find the highest common divisor of 432, 204, 238, 909 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 432, 204, 238, 909 i.e 1.
3. How can I use the GCD of 432, 204, 238, 909Calculator?
Out the numbers 432, 204, 238, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.