Online GCD Calculator is useful to find the GCD of 438, 108, 723, 324 quickly. Get the easiest ways to solve the greatest common divisor of 438, 108, 723, 324 i.e 3 in different methods as follows.
Given Input numbers are 438, 108, 723, 324
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 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
GCD of numbers is the greatest common divisor
So, the GCD (438, 108, 723, 324) = 3.
Given numbers are 438, 108, 723, 324
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 723 are 3 x 241
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 438, 108, 723, 324 is 3.
Given numbers are 438, 108, 723, 324
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 108) = 7884
GCD(438, 108) = ( 438 x 108 ) / 7884
= 438 / 108
= 438
Step2:
LCM(6, 723) = 1446
GCD(6, 723) = ( 6 x 723 ) / 1446
= 6 / 723
= 6
Step3:
LCM(3, 324) = 324
GCD(3, 324) = ( 3 x 324 ) / 324
= 3 / 324
= 3
So, Greatest Common Divisor of 438, 108, 723, 324 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 438, 108, 723, 324
The greatest common divisor of numbers 438, 108, 723, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 108, 723, 324 is 3.
1. What is the GCD of 438, 108, 723, 324?
GCD of given numbers 438, 108, 723, 324 is 3
2. How to calculate the greatest common divisor of 438, 108, 723, 324?
We can find the highest common divisor of 438, 108, 723, 324 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, 108, 723, 324 i.e 3.
3. How can I use the GCD of 438, 108, 723, 324Calculator?
Out the numbers 438, 108, 723, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.