Online GCD Calculator is useful to find the GCD of 816, 483, 408, 204 quickly. Get the easiest ways to solve the greatest common divisor of 816, 483, 408, 204 i.e 3 in different methods as follows.
Given Input numbers are 816, 483, 408, 204
In the factoring method, we have to find the divisors of all numbers
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 483 :
The positive integer divisors of 483 that completely divides 483 are.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
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
GCD of numbers is the greatest common divisor
So, the GCD (816, 483, 408, 204) = 3.
Given numbers are 816, 483, 408, 204
The list of prime factors of all numbers are
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 483 are 3 x 7 x 23
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 204 are 2 x 2 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 816, 483, 408, 204 is 3.
Given numbers are 816, 483, 408, 204
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 483) = 131376
GCD(816, 483) = ( 816 x 483 ) / 131376
= 816 / 483
= 816
Step2:
LCM(3, 408) = 408
GCD(3, 408) = ( 3 x 408 ) / 408
= 3 / 408
= 3
Step3:
LCM(3, 204) = 204
GCD(3, 204) = ( 3 x 204 ) / 204
= 3 / 204
= 3
So, Greatest Common Divisor of 816, 483, 408, 204 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 816, 483, 408, 204
The greatest common divisor of numbers 816, 483, 408, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 483, 408, 204 is 3.
1. What is the GCD of 816, 483, 408, 204?
GCD of given numbers 816, 483, 408, 204 is 3
2. How to calculate the greatest common divisor of 816, 483, 408, 204?
We can find the highest common divisor of 816, 483, 408, 204 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 816, 483, 408, 204 i.e 3.
3. How can I use the GCD of 816, 483, 408, 204Calculator?
Out the numbers 816, 483, 408, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.