Online GCD Calculator is useful to find the GCD of 729, 780, 514, 645 quickly. Get the easiest ways to solve the greatest common divisor of 729, 780, 514, 645 i.e 1 in different methods as follows.
Given Input numbers are 729, 780, 514, 645
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 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 514 :
The positive integer divisors of 514 that completely divides 514 are.
1, 2, 257, 514
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
GCD of numbers is the greatest common divisor
So, the GCD (729, 780, 514, 645) = 1.
Given numbers are 729, 780, 514, 645
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 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 514 are 2 x 257
Prime factors of 645 are 3 x 5 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 729, 780, 514, 645
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(729, 780) = 189540
GCD(729, 780) = ( 729 x 780 ) / 189540
= 729 / 780
= 729
Step2:
LCM(3, 514) = 1542
GCD(3, 514) = ( 3 x 514 ) / 1542
= 3 / 514
= 3
Step3:
LCM(1, 645) = 645
GCD(1, 645) = ( 1 x 645 ) / 645
= 1 / 645
= 1
So, Greatest Common Divisor of 729, 780, 514, 645 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 729, 780, 514, 645
The greatest common divisor of numbers 729, 780, 514, 645 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 780, 514, 645 is 1.
1. What is the GCD of 729, 780, 514, 645?
GCD of given numbers 729, 780, 514, 645 is 1
2. How to calculate the greatest common divisor of 729, 780, 514, 645?
We can find the highest common divisor of 729, 780, 514, 645 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, 780, 514, 645 i.e 1.
3. How can I use the GCD of 729, 780, 514, 645Calculator?
Out the numbers 729, 780, 514, 645 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.