Online GCD Calculator is useful to find the GCD of 432, 864, 154, 589 quickly. Get the easiest ways to solve the greatest common divisor of 432, 864, 154, 589 i.e 1 in different methods as follows.
Given Input numbers are 432, 864, 154, 589
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 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 589 :
The positive integer divisors of 589 that completely divides 589 are.
1, 19, 31, 589
GCD of numbers is the greatest common divisor
So, the GCD (432, 864, 154, 589) = 1.
Given numbers are 432, 864, 154, 589
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 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 154 are 2 x 7 x 11
Prime factors of 589 are 19 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 432, 864, 154, 589
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 864) = 864
GCD(432, 864) = ( 432 x 864 ) / 864
= 432 / 864
= 432
Step2:
LCM(432, 154) = 33264
GCD(432, 154) = ( 432 x 154 ) / 33264
= 432 / 154
= 432
Step3:
LCM(2, 589) = 1178
GCD(2, 589) = ( 2 x 589 ) / 1178
= 2 / 589
= 2
So, Greatest Common Divisor of 432, 864, 154, 589 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 864, 154, 589
The greatest common divisor of numbers 432, 864, 154, 589 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 864, 154, 589 is 1.
1. What is the GCD of 432, 864, 154, 589?
GCD of given numbers 432, 864, 154, 589 is 1
2. How to calculate the greatest common divisor of 432, 864, 154, 589?
We can find the highest common divisor of 432, 864, 154, 589 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, 864, 154, 589 i.e 1.
3. How can I use the GCD of 432, 864, 154, 589Calculator?
Out the numbers 432, 864, 154, 589 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.