Online GCD Calculator is useful to find the GCD of 432, 596, 448, 184 quickly. Get the easiest ways to solve the greatest common divisor of 432, 596, 448, 184 i.e 4 in different methods as follows.
Given Input numbers are 432, 596, 448, 184
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 596 :
The positive integer divisors of 596 that completely divides 596 are.
1, 2, 4, 149, 298, 596
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 184 :
The positive integer divisors of 184 that completely divides 184 are.
1, 2, 4, 8, 23, 46, 92, 184
GCD of numbers is the greatest common divisor
So, the GCD (432, 596, 448, 184) = 4.
Given numbers are 432, 596, 448, 184
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 596 are 2 x 2 x 149
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 184 are 2 x 2 x 2 x 23
The highest common occurrence is 22
Therefore, GCD of 432, 596, 448, 184 is 4.
Given numbers are 432, 596, 448, 184
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 596) = 64368
GCD(432, 596) = ( 432 x 596 ) / 64368
= 432 / 596
= 432
Step2:
LCM(4, 448) = 448
GCD(4, 448) = ( 4 x 448 ) / 448
= 4 / 448
= 4
Step3:
LCM(4, 184) = 184
GCD(4, 184) = ( 4 x 184 ) / 184
= 4 / 184
= 4
So, Greatest Common Divisor of 432, 596, 448, 184 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 596, 448, 184
The greatest common divisor of numbers 432, 596, 448, 184 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 596, 448, 184 is 4.
1. What is the GCD of 432, 596, 448, 184?
GCD of given numbers 432, 596, 448, 184 is 4
2. How to calculate the greatest common divisor of 432, 596, 448, 184?
We can find the highest common divisor of 432, 596, 448, 184 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, 596, 448, 184 i.e 4.
3. How can I use the GCD of 432, 596, 448, 184Calculator?
Out the numbers 432, 596, 448, 184 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.