Online GCD Calculator is useful to find the GCD of 904, 344, 660, 604 quickly. Get the easiest ways to solve the greatest common divisor of 904, 344, 660, 604 i.e 4 in different methods as follows.
Given Input numbers are 904, 344, 660, 604
In the factoring method, we have to find the divisors of all numbers
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 604 :
The positive integer divisors of 604 that completely divides 604 are.
1, 2, 4, 151, 302, 604
GCD of numbers is the greatest common divisor
So, the GCD (904, 344, 660, 604) = 4.
Given numbers are 904, 344, 660, 604
The list of prime factors of all numbers are
Prime factors of 904 are 2 x 2 x 2 x 113
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 604 are 2 x 2 x 151
The highest common occurrence is 22
Therefore, GCD of 904, 344, 660, 604 is 4.
Given numbers are 904, 344, 660, 604
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(904, 344) = 38872
GCD(904, 344) = ( 904 x 344 ) / 38872
= 904 / 344
= 904
Step2:
LCM(8, 660) = 1320
GCD(8, 660) = ( 8 x 660 ) / 1320
= 8 / 660
= 8
Step3:
LCM(4, 604) = 604
GCD(4, 604) = ( 4 x 604 ) / 604
= 4 / 604
= 4
So, Greatest Common Divisor of 904, 344, 660, 604 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 904, 344, 660, 604
The greatest common divisor of numbers 904, 344, 660, 604 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 904, 344, 660, 604 is 4.
1. What is the GCD of 904, 344, 660, 604?
GCD of given numbers 904, 344, 660, 604 is 4
2. How to calculate the greatest common divisor of 904, 344, 660, 604?
We can find the highest common divisor of 904, 344, 660, 604 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 904, 344, 660, 604 i.e 4.
3. How can I use the GCD of 904, 344, 660, 604Calculator?
Out the numbers 904, 344, 660, 604 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.