Online GCD Calculator is useful to find the GCD of 664, 204, 604, 112 quickly. Get the easiest ways to solve the greatest common divisor of 664, 204, 604, 112 i.e 4 in different methods as follows.
Given Input numbers are 664, 204, 604, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
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 604 :
The positive integer divisors of 604 that completely divides 604 are.
1, 2, 4, 151, 302, 604
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (664, 204, 604, 112) = 4.
Given numbers are 664, 204, 604, 112
The list of prime factors of all numbers are
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 604 are 2 x 2 x 151
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The highest common occurrence is 22
Therefore, GCD of 664, 204, 604, 112 is 4.
Given numbers are 664, 204, 604, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(664, 204) = 33864
GCD(664, 204) = ( 664 x 204 ) / 33864
= 664 / 204
= 664
Step2:
LCM(4, 604) = 604
GCD(4, 604) = ( 4 x 604 ) / 604
= 4 / 604
= 4
Step3:
LCM(4, 112) = 112
GCD(4, 112) = ( 4 x 112 ) / 112
= 4 / 112
= 4
So, Greatest Common Divisor of 664, 204, 604, 112 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 664, 204, 604, 112
The greatest common divisor of numbers 664, 204, 604, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 204, 604, 112 is 4.
1. What is the GCD of 664, 204, 604, 112?
GCD of given numbers 664, 204, 604, 112 is 4
2. How to calculate the greatest common divisor of 664, 204, 604, 112?
We can find the highest common divisor of 664, 204, 604, 112 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 664, 204, 604, 112 i.e 4.
3. How can I use the GCD of 664, 204, 604, 112Calculator?
Out the numbers 664, 204, 604, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.