Online GCD Calculator is useful to find the GCD of 624, 144, 336, 180 quickly. Get the easiest ways to solve the greatest common divisor of 624, 144, 336, 180 i.e 12 in different methods as follows.
Given Input numbers are 624, 144, 336, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
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
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
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
GCD of numbers is the greatest common divisor
So, the GCD (624, 144, 336, 180) = 12.
Given numbers are 624, 144, 336, 180
The list of prime factors of all numbers are
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 22 x 31
Therefore, GCD of 624, 144, 336, 180 is 12.
Given numbers are 624, 144, 336, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(624, 144) = 1872
GCD(624, 144) = ( 624 x 144 ) / 1872
= 624 / 144
= 624
Step2:
LCM(48, 336) = 336
GCD(48, 336) = ( 48 x 336 ) / 336
= 48 / 336
= 48
Step3:
LCM(48, 180) = 720
GCD(48, 180) = ( 48 x 180 ) / 720
= 48 / 180
= 48
So, Greatest Common Divisor of 624, 144, 336, 180 is 12
Here are some samples of GCD of Numbers calculations.
Given numbers are 624, 144, 336, 180
The greatest common divisor of numbers 624, 144, 336, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 144, 336, 180 is 12.
1. What is the GCD of 624, 144, 336, 180?
GCD of given numbers 624, 144, 336, 180 is 12
2. How to calculate the greatest common divisor of 624, 144, 336, 180?
We can find the highest common divisor of 624, 144, 336, 180 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 624, 144, 336, 180 i.e 12.
3. How can I use the GCD of 624, 144, 336, 180Calculator?
Out the numbers 624, 144, 336, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.