Online GCD Calculator is useful to find the GCD of 438, 336, 180, 812 quickly. Get the easiest ways to solve the greatest common divisor of 438, 336, 180, 812 i.e 2 in different methods as follows.
Given Input numbers are 438, 336, 180, 812
In the factoring method, we have to find the divisors of all numbers
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
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
Divisors of 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
GCD of numbers is the greatest common divisor
So, the GCD (438, 336, 180, 812) = 2.
Given numbers are 438, 336, 180, 812
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
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
Prime factors of 812 are 2 x 2 x 7 x 29
The highest common occurrence is 21
Therefore, GCD of 438, 336, 180, 812 is 2.
Given numbers are 438, 336, 180, 812
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 336) = 24528
GCD(438, 336) = ( 438 x 336 ) / 24528
= 438 / 336
= 438
Step2:
LCM(6, 180) = 180
GCD(6, 180) = ( 6 x 180 ) / 180
= 6 / 180
= 6
Step3:
LCM(6, 812) = 2436
GCD(6, 812) = ( 6 x 812 ) / 2436
= 6 / 812
= 6
So, Greatest Common Divisor of 438, 336, 180, 812 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 438, 336, 180, 812
The greatest common divisor of numbers 438, 336, 180, 812 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 336, 180, 812 is 2.
1. What is the GCD of 438, 336, 180, 812?
GCD of given numbers 438, 336, 180, 812 is 2
2. How to calculate the greatest common divisor of 438, 336, 180, 812?
We can find the highest common divisor of 438, 336, 180, 812 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 438, 336, 180, 812 i.e 2.
3. How can I use the GCD of 438, 336, 180, 812Calculator?
Out the numbers 438, 336, 180, 812 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.