Online GCD Calculator is useful to find the GCD of 432, 184, 690, 144 quickly. Get the easiest ways to solve the greatest common divisor of 432, 184, 690, 144 i.e 2 in different methods as follows.
Given Input numbers are 432, 184, 690, 144
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 184 :
The positive integer divisors of 184 that completely divides 184 are.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD of numbers is the greatest common divisor
So, the GCD (432, 184, 690, 144) = 2.
Given numbers are 432, 184, 690, 144
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 184 are 2 x 2 x 2 x 23
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 432, 184, 690, 144 is 2.
Given numbers are 432, 184, 690, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 184) = 9936
GCD(432, 184) = ( 432 x 184 ) / 9936
= 432 / 184
= 432
Step2:
LCM(8, 690) = 2760
GCD(8, 690) = ( 8 x 690 ) / 2760
= 8 / 690
= 8
Step3:
LCM(2, 144) = 144
GCD(2, 144) = ( 2 x 144 ) / 144
= 2 / 144
= 2
So, Greatest Common Divisor of 432, 184, 690, 144 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 184, 690, 144
The greatest common divisor of numbers 432, 184, 690, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 184, 690, 144 is 2.
1. What is the GCD of 432, 184, 690, 144?
GCD of given numbers 432, 184, 690, 144 is 2
2. How to calculate the greatest common divisor of 432, 184, 690, 144?
We can find the highest common divisor of 432, 184, 690, 144 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, 184, 690, 144 i.e 2.
3. How can I use the GCD of 432, 184, 690, 144Calculator?
Out the numbers 432, 184, 690, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.