Online GCD Calculator is useful to find the GCD of 432, 174, 460, 155 quickly. Get the easiest ways to solve the greatest common divisor of 432, 174, 460, 155 i.e 1 in different methods as follows.
Given Input numbers are 432, 174, 460, 155
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 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 155 :
The positive integer divisors of 155 that completely divides 155 are.
1, 5, 31, 155
GCD of numbers is the greatest common divisor
So, the GCD (432, 174, 460, 155) = 1.
Given numbers are 432, 174, 460, 155
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 174 are 2 x 3 x 29
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 155 are 5 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 432, 174, 460, 155
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 174) = 12528
GCD(432, 174) = ( 432 x 174 ) / 12528
= 432 / 174
= 432
Step2:
LCM(6, 460) = 1380
GCD(6, 460) = ( 6 x 460 ) / 1380
= 6 / 460
= 6
Step3:
LCM(2, 155) = 310
GCD(2, 155) = ( 2 x 155 ) / 310
= 2 / 155
= 2
So, Greatest Common Divisor of 432, 174, 460, 155 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 174, 460, 155
The greatest common divisor of numbers 432, 174, 460, 155 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 174, 460, 155 is 1.
1. What is the GCD of 432, 174, 460, 155?
GCD of given numbers 432, 174, 460, 155 is 1
2. How to calculate the greatest common divisor of 432, 174, 460, 155?
We can find the highest common divisor of 432, 174, 460, 155 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, 174, 460, 155 i.e 1.
3. How can I use the GCD of 432, 174, 460, 155Calculator?
Out the numbers 432, 174, 460, 155 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.