Online GCD Calculator is useful to find the GCD of 729, 384, 664, 768 quickly. Get the easiest ways to solve the greatest common divisor of 729, 384, 664, 768 i.e 1 in different methods as follows.
Given Input numbers are 729, 384, 664, 768
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 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
GCD of numbers is the greatest common divisor
So, the GCD (729, 384, 664, 768) = 1.
Given numbers are 729, 384, 664, 768
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 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 729, 384, 664, 768
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(729, 384) = 93312
GCD(729, 384) = ( 729 x 384 ) / 93312
= 729 / 384
= 729
Step2:
LCM(3, 664) = 1992
GCD(3, 664) = ( 3 x 664 ) / 1992
= 3 / 664
= 3
Step3:
LCM(1, 768) = 768
GCD(1, 768) = ( 1 x 768 ) / 768
= 1 / 768
= 1
So, Greatest Common Divisor of 729, 384, 664, 768 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 729, 384, 664, 768
The greatest common divisor of numbers 729, 384, 664, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 384, 664, 768 is 1.
1. What is the GCD of 729, 384, 664, 768?
GCD of given numbers 729, 384, 664, 768 is 1
2. How to calculate the greatest common divisor of 729, 384, 664, 768?
We can find the highest common divisor of 729, 384, 664, 768 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, 384, 664, 768 i.e 1.
3. How can I use the GCD of 729, 384, 664, 768Calculator?
Out the numbers 729, 384, 664, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.