Online GCD Calculator is useful to find the GCD of 828, 318, 234, 438 quickly. Get the easiest ways to solve the greatest common divisor of 828, 318, 234, 438 i.e 6 in different methods as follows.
Given Input numbers are 828, 318, 234, 438
In the factoring method, we have to find the divisors of all numbers
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
GCD of numbers is the greatest common divisor
So, the GCD (828, 318, 234, 438) = 6.
Given numbers are 828, 318, 234, 438
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 318 are 2 x 3 x 53
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 438 are 2 x 3 x 73
The highest common occurrence is 21 x 31
Therefore, GCD of 828, 318, 234, 438 is 6.
Given numbers are 828, 318, 234, 438
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 318) = 43884
GCD(828, 318) = ( 828 x 318 ) / 43884
= 828 / 318
= 828
Step2:
LCM(6, 234) = 234
GCD(6, 234) = ( 6 x 234 ) / 234
= 6 / 234
= 6
Step3:
LCM(6, 438) = 438
GCD(6, 438) = ( 6 x 438 ) / 438
= 6 / 438
= 6
So, Greatest Common Divisor of 828, 318, 234, 438 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 318, 234, 438
The greatest common divisor of numbers 828, 318, 234, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 318, 234, 438 is 6.
1. What is the GCD of 828, 318, 234, 438?
GCD of given numbers 828, 318, 234, 438 is 6
2. How to calculate the greatest common divisor of 828, 318, 234, 438?
We can find the highest common divisor of 828, 318, 234, 438 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 828, 318, 234, 438 i.e 6.
3. How can I use the GCD of 828, 318, 234, 438Calculator?
Out the numbers 828, 318, 234, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.