Online GCD Calculator is useful to find the GCD of 729, 793, 765, 972 quickly. Get the easiest ways to solve the greatest common divisor of 729, 793, 765, 972 i.e 1 in different methods as follows.
Given Input numbers are 729, 793, 765, 972
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 793 :
The positive integer divisors of 793 that completely divides 793 are.
1, 13, 61, 793
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
GCD of numbers is the greatest common divisor
So, the GCD (729, 793, 765, 972) = 1.
Given numbers are 729, 793, 765, 972
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 793 are 13 x 61
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 729, 793, 765, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(729, 793) = 578097
GCD(729, 793) = ( 729 x 793 ) / 578097
= 729 / 793
= 729
Step2:
LCM(1, 765) = 765
GCD(1, 765) = ( 1 x 765 ) / 765
= 1 / 765
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 729, 793, 765, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 729, 793, 765, 972
The greatest common divisor of numbers 729, 793, 765, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 793, 765, 972 is 1.
1. What is the GCD of 729, 793, 765, 972?
GCD of given numbers 729, 793, 765, 972 is 1
2. How to calculate the greatest common divisor of 729, 793, 765, 972?
We can find the highest common divisor of 729, 793, 765, 972 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, 793, 765, 972 i.e 1.
3. How can I use the GCD of 729, 793, 765, 972Calculator?
Out the numbers 729, 793, 765, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.