Online GCD Calculator is useful to find the GCD of 116, 204, 108, 828 quickly. Get the easiest ways to solve the greatest common divisor of 116, 204, 108, 828 i.e 4 in different methods as follows.
Given Input numbers are 116, 204, 108, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
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 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
GCD of numbers is the greatest common divisor
So, the GCD (116, 204, 108, 828) = 4.
Given numbers are 116, 204, 108, 828
The list of prime factors of all numbers are
Prime factors of 116 are 2 x 2 x 29
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The highest common occurrence is 22
Therefore, GCD of 116, 204, 108, 828 is 4.
Given numbers are 116, 204, 108, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(116, 204) = 5916
GCD(116, 204) = ( 116 x 204 ) / 5916
= 116 / 204
= 116
Step2:
LCM(4, 108) = 108
GCD(4, 108) = ( 4 x 108 ) / 108
= 4 / 108
= 4
Step3:
LCM(4, 828) = 828
GCD(4, 828) = ( 4 x 828 ) / 828
= 4 / 828
= 4
So, Greatest Common Divisor of 116, 204, 108, 828 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 116, 204, 108, 828
The greatest common divisor of numbers 116, 204, 108, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 204, 108, 828 is 4.
1. What is the GCD of 116, 204, 108, 828?
GCD of given numbers 116, 204, 108, 828 is 4
2. How to calculate the greatest common divisor of 116, 204, 108, 828?
We can find the highest common divisor of 116, 204, 108, 828 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 116, 204, 108, 828 i.e 4.
3. How can I use the GCD of 116, 204, 108, 828Calculator?
Out the numbers 116, 204, 108, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.