Online GCD Calculator is useful to find the GCD of 804, 226, 108, 432 quickly. Get the easiest ways to solve the greatest common divisor of 804, 226, 108, 432 i.e 2 in different methods as follows.
Given Input numbers are 804, 226, 108, 432
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 226 :
The positive integer divisors of 226 that completely divides 226 are.
1, 2, 113, 226
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 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
GCD of numbers is the greatest common divisor
So, the GCD (804, 226, 108, 432) = 2.
Given numbers are 804, 226, 108, 432
The list of prime factors of all numbers are
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 226 are 2 x 113
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 804, 226, 108, 432 is 2.
Given numbers are 804, 226, 108, 432
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(804, 226) = 90852
GCD(804, 226) = ( 804 x 226 ) / 90852
= 804 / 226
= 804
Step2:
LCM(2, 108) = 108
GCD(2, 108) = ( 2 x 108 ) / 108
= 2 / 108
= 2
Step3:
LCM(2, 432) = 432
GCD(2, 432) = ( 2 x 432 ) / 432
= 2 / 432
= 2
So, Greatest Common Divisor of 804, 226, 108, 432 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 804, 226, 108, 432
The greatest common divisor of numbers 804, 226, 108, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 226, 108, 432 is 2.
1. What is the GCD of 804, 226, 108, 432?
GCD of given numbers 804, 226, 108, 432 is 2
2. How to calculate the greatest common divisor of 804, 226, 108, 432?
We can find the highest common divisor of 804, 226, 108, 432 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, 226, 108, 432 i.e 2.
3. How can I use the GCD of 804, 226, 108, 432Calculator?
Out the numbers 804, 226, 108, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.