Online GCD Calculator is useful to find the GCD of 804, 363, 618, 204 quickly. Get the easiest ways to solve the greatest common divisor of 804, 363, 618, 204 i.e 3 in different methods as follows.
Given Input numbers are 804, 363, 618, 204
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 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
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 (804, 363, 618, 204) = 3.
Given numbers are 804, 363, 618, 204
The list of prime factors of all numbers are
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 363 are 3 x 11 x 11
Prime factors of 618 are 2 x 3 x 103
Prime factors of 204 are 2 x 2 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 804, 363, 618, 204 is 3.
Given numbers are 804, 363, 618, 204
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(804, 363) = 97284
GCD(804, 363) = ( 804 x 363 ) / 97284
= 804 / 363
= 804
Step2:
LCM(3, 618) = 618
GCD(3, 618) = ( 3 x 618 ) / 618
= 3 / 618
= 3
Step3:
LCM(3, 204) = 204
GCD(3, 204) = ( 3 x 204 ) / 204
= 3 / 204
= 3
So, Greatest Common Divisor of 804, 363, 618, 204 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 804, 363, 618, 204
The greatest common divisor of numbers 804, 363, 618, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 363, 618, 204 is 3.
1. What is the GCD of 804, 363, 618, 204?
GCD of given numbers 804, 363, 618, 204 is 3
2. How to calculate the greatest common divisor of 804, 363, 618, 204?
We can find the highest common divisor of 804, 363, 618, 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 804, 363, 618, 204 i.e 3.
3. How can I use the GCD of 804, 363, 618, 204Calculator?
Out the numbers 804, 363, 618, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.