Online GCD Calculator is useful to find the GCD of 231, 666, 311, 729 quickly. Get the easiest ways to solve the greatest common divisor of 231, 666, 311, 729 i.e 1 in different methods as follows.
Given Input numbers are 231, 666, 311, 729
In the factoring method, we have to find the divisors of all numbers
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 666 :
The positive integer divisors of 666 that completely divides 666 are.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Divisors of 311 :
The positive integer divisors of 311 that completely divides 311 are.
1, 311
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
GCD of numbers is the greatest common divisor
So, the GCD (231, 666, 311, 729) = 1.
Given numbers are 231, 666, 311, 729
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 666 are 2 x 3 x 3 x 37
Prime factors of 311 are 311
Prime factors of 729 are 3 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 231, 666, 311, 729
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 666) = 51282
GCD(231, 666) = ( 231 x 666 ) / 51282
= 231 / 666
= 231
Step2:
LCM(3, 311) = 933
GCD(3, 311) = ( 3 x 311 ) / 933
= 3 / 311
= 3
Step3:
LCM(1, 729) = 729
GCD(1, 729) = ( 1 x 729 ) / 729
= 1 / 729
= 1
So, Greatest Common Divisor of 231, 666, 311, 729 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 231, 666, 311, 729
The greatest common divisor of numbers 231, 666, 311, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 666, 311, 729 is 1.
1. What is the GCD of 231, 666, 311, 729?
GCD of given numbers 231, 666, 311, 729 is 1
2. How to calculate the greatest common divisor of 231, 666, 311, 729?
We can find the highest common divisor of 231, 666, 311, 729 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 231, 666, 311, 729 i.e 1.
3. How can I use the GCD of 231, 666, 311, 729Calculator?
Out the numbers 231, 666, 311, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.