Online GCD Calculator is useful to find the GCD of 432, 180, 474 quickly. Get the easiest ways to solve the greatest common divisor of 432, 180, 474 i.e 6 in different methods as follows.
Given Input numbers are 432, 180, 474
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 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 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
GCD of numbers is the greatest common divisor
So, the GCD (432, 180, 474) = 6.
Given numbers are 432, 180, 474
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 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 474 are 2 x 3 x 79
The highest common occurrence is 21 x 31
Therefore, GCD of 432, 180, 474 is 6.
Given numbers are 432, 180, 474
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 180) = 2160
GCD(432, 180) = ( 432 x 180 ) / 2160
= 432 / 180
= 432
Step2:
LCM(36, 474) = 2844
GCD(36, 474) = ( 36 x 474 ) / 2844
= 36 / 474
= 36
So, Greatest Common Divisor of 432, 180, 474 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 180, 474
The greatest common divisor of numbers 432, 180, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 180, 474 is 6.
1. What is the GCD of 432, 180, 474?
GCD of given numbers 432, 180, 474 is 6
2. How to calculate the greatest common divisor of 432, 180, 474?
We can find the highest common divisor of 432, 180, 474 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, 180, 474 i.e 6.
3. How can I use the GCD of 432, 180, 474Calculator?
Out the numbers 432, 180, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.