Online GCD Calculator is useful to find the GCD of 604, 872, 108, 714 quickly. Get the easiest ways to solve the greatest common divisor of 604, 872, 108, 714 i.e 2 in different methods as follows.
Given Input numbers are 604, 872, 108, 714
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 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
GCD of numbers is the greatest common divisor
So, the GCD (604, 872, 108, 714) = 2.
Given numbers are 604, 872, 108, 714
The list of prime factors of all numbers are
Prime factors of 604 are 2 x 2 x 151
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 714 are 2 x 3 x 7 x 17
The highest common occurrence is 21
Therefore, GCD of 604, 872, 108, 714 is 2.
Given numbers are 604, 872, 108, 714
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(604, 872) = 131672
GCD(604, 872) = ( 604 x 872 ) / 131672
= 604 / 872
= 604
Step2:
LCM(4, 108) = 108
GCD(4, 108) = ( 4 x 108 ) / 108
= 4 / 108
= 4
Step3:
LCM(4, 714) = 1428
GCD(4, 714) = ( 4 x 714 ) / 1428
= 4 / 714
= 4
So, Greatest Common Divisor of 604, 872, 108, 714 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 604, 872, 108, 714
The greatest common divisor of numbers 604, 872, 108, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 604, 872, 108, 714 is 2.
1. What is the GCD of 604, 872, 108, 714?
GCD of given numbers 604, 872, 108, 714 is 2
2. How to calculate the greatest common divisor of 604, 872, 108, 714?
We can find the highest common divisor of 604, 872, 108, 714 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, 872, 108, 714 i.e 2.
3. How can I use the GCD of 604, 872, 108, 714Calculator?
Out the numbers 604, 872, 108, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.