Online GCD Calculator is useful to find the GCD of 729, 506, 321, 680 quickly. Get the easiest ways to solve the greatest common divisor of 729, 506, 321, 680 i.e 1 in different methods as follows.
Given Input numbers are 729, 506, 321, 680
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 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
GCD of numbers is the greatest common divisor
So, the GCD (729, 506, 321, 680) = 1.
Given numbers are 729, 506, 321, 680
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 506 are 2 x 11 x 23
Prime factors of 321 are 3 x 107
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 729, 506, 321, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(729, 506) = 368874
GCD(729, 506) = ( 729 x 506 ) / 368874
= 729 / 506
= 729
Step2:
LCM(1, 321) = 321
GCD(1, 321) = ( 1 x 321 ) / 321
= 1 / 321
= 1
Step3:
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
= 1 / 680
= 1
So, Greatest Common Divisor of 729, 506, 321, 680 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 729, 506, 321, 680
The greatest common divisor of numbers 729, 506, 321, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 506, 321, 680 is 1.
1. What is the GCD of 729, 506, 321, 680?
GCD of given numbers 729, 506, 321, 680 is 1
2. How to calculate the greatest common divisor of 729, 506, 321, 680?
We can find the highest common divisor of 729, 506, 321, 680 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, 506, 321, 680 i.e 1.
3. How can I use the GCD of 729, 506, 321, 680Calculator?
Out the numbers 729, 506, 321, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.