Online GCD Calculator is useful to find the GCD of 729, 221, 664, 205 quickly. Get the easiest ways to solve the greatest common divisor of 729, 221, 664, 205 i.e 1 in different methods as follows.
Given Input numbers are 729, 221, 664, 205
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 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 205 :
The positive integer divisors of 205 that completely divides 205 are.
1, 5, 41, 205
GCD of numbers is the greatest common divisor
So, the GCD (729, 221, 664, 205) = 1.
Given numbers are 729, 221, 664, 205
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 221 are 13 x 17
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 205 are 5 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 729, 221, 664, 205
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(729, 221) = 161109
GCD(729, 221) = ( 729 x 221 ) / 161109
= 729 / 221
= 729
Step2:
LCM(1, 664) = 664
GCD(1, 664) = ( 1 x 664 ) / 664
= 1 / 664
= 1
Step3:
LCM(1, 205) = 205
GCD(1, 205) = ( 1 x 205 ) / 205
= 1 / 205
= 1
So, Greatest Common Divisor of 729, 221, 664, 205 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 729, 221, 664, 205
The greatest common divisor of numbers 729, 221, 664, 205 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 221, 664, 205 is 1.
1. What is the GCD of 729, 221, 664, 205?
GCD of given numbers 729, 221, 664, 205 is 1
2. How to calculate the greatest common divisor of 729, 221, 664, 205?
We can find the highest common divisor of 729, 221, 664, 205 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, 221, 664, 205 i.e 1.
3. How can I use the GCD of 729, 221, 664, 205Calculator?
Out the numbers 729, 221, 664, 205 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.