Online GCD Calculator is useful to find the GCD of 318, 708, 588, 204 quickly. Get the easiest ways to solve the greatest common divisor of 318, 708, 588, 204 i.e 6 in different methods as follows.
Given Input numbers are 318, 708, 588, 204
In the factoring method, we have to find the divisors of all numbers
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
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
GCD of numbers is the greatest common divisor
So, the GCD (318, 708, 588, 204) = 6.
Given numbers are 318, 708, 588, 204
The list of prime factors of all numbers are
Prime factors of 318 are 2 x 3 x 53
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 204 are 2 x 2 x 3 x 17
The highest common occurrence is 21 x 31
Therefore, GCD of 318, 708, 588, 204 is 6.
Given numbers are 318, 708, 588, 204
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(318, 708) = 37524
GCD(318, 708) = ( 318 x 708 ) / 37524
= 318 / 708
= 318
Step2:
LCM(6, 588) = 588
GCD(6, 588) = ( 6 x 588 ) / 588
= 6 / 588
= 6
Step3:
LCM(6, 204) = 204
GCD(6, 204) = ( 6 x 204 ) / 204
= 6 / 204
= 6
So, Greatest Common Divisor of 318, 708, 588, 204 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 318, 708, 588, 204
The greatest common divisor of numbers 318, 708, 588, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 708, 588, 204 is 6.
1. What is the GCD of 318, 708, 588, 204?
GCD of given numbers 318, 708, 588, 204 is 6
2. How to calculate the greatest common divisor of 318, 708, 588, 204?
We can find the highest common divisor of 318, 708, 588, 204 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 318, 708, 588, 204 i.e 6.
3. How can I use the GCD of 318, 708, 588, 204Calculator?
Out the numbers 318, 708, 588, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.