Online GCD Calculator is useful to find the GCD of 729, 819, 716, 357 quickly. Get the easiest ways to solve the greatest common divisor of 729, 819, 716, 357 i.e 1 in different methods as follows.
Given Input numbers are 729, 819, 716, 357
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 819 :
The positive integer divisors of 819 that completely divides 819 are.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
GCD of numbers is the greatest common divisor
So, the GCD (729, 819, 716, 357) = 1.
Given numbers are 729, 819, 716, 357
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 819 are 3 x 3 x 7 x 13
Prime factors of 716 are 2 x 2 x 179
Prime factors of 357 are 3 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 729, 819, 716, 357
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(729, 819) = 66339
GCD(729, 819) = ( 729 x 819 ) / 66339
= 729 / 819
= 729
Step2:
LCM(9, 716) = 6444
GCD(9, 716) = ( 9 x 716 ) / 6444
= 9 / 716
= 9
Step3:
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
= 1 / 357
= 1
So, Greatest Common Divisor of 729, 819, 716, 357 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 729, 819, 716, 357
The greatest common divisor of numbers 729, 819, 716, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 819, 716, 357 is 1.
1. What is the GCD of 729, 819, 716, 357?
GCD of given numbers 729, 819, 716, 357 is 1
2. How to calculate the greatest common divisor of 729, 819, 716, 357?
We can find the highest common divisor of 729, 819, 716, 357 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, 819, 716, 357 i.e 1.
3. How can I use the GCD of 729, 819, 716, 357Calculator?
Out the numbers 729, 819, 716, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.