Online GCD Calculator is useful to find the GCD of 204, 966, 244, 704 quickly. Get the easiest ways to solve the greatest common divisor of 204, 966, 244, 704 i.e 2 in different methods as follows.
Given Input numbers are 204, 966, 244, 704
In the factoring method, we have to find the divisors of all numbers
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 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 244 :
The positive integer divisors of 244 that completely divides 244 are.
1, 2, 4, 61, 122, 244
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
GCD of numbers is the greatest common divisor
So, the GCD (204, 966, 244, 704) = 2.
Given numbers are 204, 966, 244, 704
The list of prime factors of all numbers are
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 244 are 2 x 2 x 61
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
The highest common occurrence is 21
Therefore, GCD of 204, 966, 244, 704 is 2.
Given numbers are 204, 966, 244, 704
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(204, 966) = 32844
GCD(204, 966) = ( 204 x 966 ) / 32844
= 204 / 966
= 204
Step2:
LCM(6, 244) = 732
GCD(6, 244) = ( 6 x 244 ) / 732
= 6 / 244
= 6
Step3:
LCM(2, 704) = 704
GCD(2, 704) = ( 2 x 704 ) / 704
= 2 / 704
= 2
So, Greatest Common Divisor of 204, 966, 244, 704 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 204, 966, 244, 704
The greatest common divisor of numbers 204, 966, 244, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 966, 244, 704 is 2.
1. What is the GCD of 204, 966, 244, 704?
GCD of given numbers 204, 966, 244, 704 is 2
2. How to calculate the greatest common divisor of 204, 966, 244, 704?
We can find the highest common divisor of 204, 966, 244, 704 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 204, 966, 244, 704 i.e 2.
3. How can I use the GCD of 204, 966, 244, 704Calculator?
Out the numbers 204, 966, 244, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.