Online GCD Calculator is useful to find the GCD of 729, 318, 614, 518 quickly. Get the easiest ways to solve the greatest common divisor of 729, 318, 614, 518 i.e 1 in different methods as follows.
Given Input numbers are 729, 318, 614, 518
In the factoring method, we have to find the divisors of all numbers
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
GCD of numbers is the greatest common divisor
So, the GCD (729, 318, 614, 518) = 1.
Given numbers are 729, 318, 614, 518
The list of prime factors of all numbers are
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 318 are 2 x 3 x 53
Prime factors of 614 are 2 x 307
Prime factors of 518 are 2 x 7 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 729, 318, 614, 518
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(729, 318) = 77274
GCD(729, 318) = ( 729 x 318 ) / 77274
= 729 / 318
= 729
Step2:
LCM(3, 614) = 1842
GCD(3, 614) = ( 3 x 614 ) / 1842
= 3 / 614
= 3
Step3:
LCM(1, 518) = 518
GCD(1, 518) = ( 1 x 518 ) / 518
= 1 / 518
= 1
So, Greatest Common Divisor of 729, 318, 614, 518 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 729, 318, 614, 518
The greatest common divisor of numbers 729, 318, 614, 518 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 318, 614, 518 is 1.
1. What is the GCD of 729, 318, 614, 518?
GCD of given numbers 729, 318, 614, 518 is 1
2. How to calculate the greatest common divisor of 729, 318, 614, 518?
We can find the highest common divisor of 729, 318, 614, 518 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 729, 318, 614, 518 i.e 1.
3. How can I use the GCD of 729, 318, 614, 518Calculator?
Out the numbers 729, 318, 614, 518 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.