Online GCD Calculator is useful to find the GCD of 729, 309, 784, 493 quickly. Get the easiest ways to solve the greatest common divisor of 729, 309, 784, 493 i.e 1 in different methods as follows.
Given Input numbers are 729, 309, 784, 493
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 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
GCD of numbers is the greatest common divisor
So, the GCD (729, 309, 784, 493) = 1.
Given numbers are 729, 309, 784, 493
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 309 are 3 x 103
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 493 are 17 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 729, 309, 784, 493
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(729, 309) = 75087
GCD(729, 309) = ( 729 x 309 ) / 75087
= 729 / 309
= 729
Step2:
LCM(3, 784) = 2352
GCD(3, 784) = ( 3 x 784 ) / 2352
= 3 / 784
= 3
Step3:
LCM(1, 493) = 493
GCD(1, 493) = ( 1 x 493 ) / 493
= 1 / 493
= 1
So, Greatest Common Divisor of 729, 309, 784, 493 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 729, 309, 784, 493
The greatest common divisor of numbers 729, 309, 784, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 309, 784, 493 is 1.
1. What is the GCD of 729, 309, 784, 493?
GCD of given numbers 729, 309, 784, 493 is 1
2. How to calculate the greatest common divisor of 729, 309, 784, 493?
We can find the highest common divisor of 729, 309, 784, 493 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, 309, 784, 493 i.e 1.
3. How can I use the GCD of 729, 309, 784, 493Calculator?
Out the numbers 729, 309, 784, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.