Online GCD Calculator is useful to find the GCD of 804, 384, 408 quickly. Get the easiest ways to solve the greatest common divisor of 804, 384, 408 i.e 12 in different methods as follows.
Given Input numbers are 804, 384, 408
In the factoring method, we have to find the divisors of all numbers
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
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
GCD of numbers is the greatest common divisor
So, the GCD (804, 384, 408) = 12.
Given numbers are 804, 384, 408
The list of prime factors of all numbers are
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
The highest common occurrence is 22 x 31
Therefore, GCD of 804, 384, 408 is 12.
Given numbers are 804, 384, 408
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(804, 384) = 25728
GCD(804, 384) = ( 804 x 384 ) / 25728
= 804 / 384
= 804
Step2:
LCM(12, 408) = 408
GCD(12, 408) = ( 12 x 408 ) / 408
= 12 / 408
= 12
So, Greatest Common Divisor of 804, 384, 408 is 12
Here are some samples of GCD of Numbers calculations.
Given numbers are 804, 384, 408
The greatest common divisor of numbers 804, 384, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 384, 408 is 12.
1. What is the GCD of 804, 384, 408?
GCD of given numbers 804, 384, 408 is 12
2. How to calculate the greatest common divisor of 804, 384, 408?
We can find the highest common divisor of 804, 384, 408 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 804, 384, 408 i.e 12.
3. How can I use the GCD of 804, 384, 408Calculator?
Out the numbers 804, 384, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.