Online GCD Calculator is useful to find the GCD of 729, 493, 13, 291 quickly. Get the easiest ways to solve the greatest common divisor of 729, 493, 13, 291 i.e 1 in different methods as follows.
Given Input numbers are 729, 493, 13, 291
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 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
Divisors of 13 :
The positive integer divisors of 13 that completely divides 13 are.
1, 13
Divisors of 291 :
The positive integer divisors of 291 that completely divides 291 are.
1, 3, 97, 291
GCD of numbers is the greatest common divisor
So, the GCD (729, 493, 13, 291) = 1.
Given numbers are 729, 493, 13, 291
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 493 are 17 x 29
Prime factors of 13 are 13
Prime factors of 291 are 3 x 97
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 729, 493, 13, 291
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(729, 493) = 359397
GCD(729, 493) = ( 729 x 493 ) / 359397
= 729 / 493
= 729
Step2:
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
= 1 / 13
= 1
Step3:
LCM(1, 291) = 291
GCD(1, 291) = ( 1 x 291 ) / 291
= 1 / 291
= 1
So, Greatest Common Divisor of 729, 493, 13, 291 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 729, 493, 13, 291
The greatest common divisor of numbers 729, 493, 13, 291 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 493, 13, 291 is 1.
1. What is the GCD of 729, 493, 13, 291?
GCD of given numbers 729, 493, 13, 291 is 1
2. How to calculate the greatest common divisor of 729, 493, 13, 291?
We can find the highest common divisor of 729, 493, 13, 291 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, 493, 13, 291 i.e 1.
3. How can I use the GCD of 729, 493, 13, 291Calculator?
Out the numbers 729, 493, 13, 291 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.