Online GCD Calculator is useful to find the GCD of 604, 300, 434, 164 quickly. Get the easiest ways to solve the greatest common divisor of 604, 300, 434, 164 i.e 2 in different methods as follows.
Given Input numbers are 604, 300, 434, 164
In the factoring method, we have to find the divisors of all numbers
Divisors of 604 :
The positive integer divisors of 604 that completely divides 604 are.
1, 2, 4, 151, 302, 604
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
GCD of numbers is the greatest common divisor
So, the GCD (604, 300, 434, 164) = 2.
Given numbers are 604, 300, 434, 164
The list of prime factors of all numbers are
Prime factors of 604 are 2 x 2 x 151
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 434 are 2 x 7 x 31
Prime factors of 164 are 2 x 2 x 41
The highest common occurrence is 21
Therefore, GCD of 604, 300, 434, 164 is 2.
Given numbers are 604, 300, 434, 164
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(604, 300) = 45300
GCD(604, 300) = ( 604 x 300 ) / 45300
= 604 / 300
= 604
Step2:
LCM(4, 434) = 868
GCD(4, 434) = ( 4 x 434 ) / 868
= 4 / 434
= 4
Step3:
LCM(2, 164) = 164
GCD(2, 164) = ( 2 x 164 ) / 164
= 2 / 164
= 2
So, Greatest Common Divisor of 604, 300, 434, 164 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 604, 300, 434, 164
The greatest common divisor of numbers 604, 300, 434, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 604, 300, 434, 164 is 2.
1. What is the GCD of 604, 300, 434, 164?
GCD of given numbers 604, 300, 434, 164 is 2
2. How to calculate the greatest common divisor of 604, 300, 434, 164?
We can find the highest common divisor of 604, 300, 434, 164 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 604, 300, 434, 164 i.e 2.
3. How can I use the GCD of 604, 300, 434, 164Calculator?
Out the numbers 604, 300, 434, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.