Online GCD Calculator is useful to find the GCD of 432, 179, 180, 206 quickly. Get the easiest ways to solve the greatest common divisor of 432, 179, 180, 206 i.e 1 in different methods as follows.
Given Input numbers are 432, 179, 180, 206
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 179 :
The positive integer divisors of 179 that completely divides 179 are.
1, 179
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 206 :
The positive integer divisors of 206 that completely divides 206 are.
1, 2, 103, 206
GCD of numbers is the greatest common divisor
So, the GCD (432, 179, 180, 206) = 1.
Given numbers are 432, 179, 180, 206
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 179 are 179
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 206 are 2 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 432, 179, 180, 206
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 179) = 77328
GCD(432, 179) = ( 432 x 179 ) / 77328
= 432 / 179
= 432
Step2:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
Step3:
LCM(1, 206) = 206
GCD(1, 206) = ( 1 x 206 ) / 206
= 1 / 206
= 1
So, Greatest Common Divisor of 432, 179, 180, 206 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 179, 180, 206
The greatest common divisor of numbers 432, 179, 180, 206 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 179, 180, 206 is 1.
1. What is the GCD of 432, 179, 180, 206?
GCD of given numbers 432, 179, 180, 206 is 1
2. How to calculate the greatest common divisor of 432, 179, 180, 206?
We can find the highest common divisor of 432, 179, 180, 206 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, 179, 180, 206 i.e 1.
3. How can I use the GCD of 432, 179, 180, 206Calculator?
Out the numbers 432, 179, 180, 206 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.