Online GCD Calculator is useful to find the GCD of 339, 729, 966, 183 quickly. Get the easiest ways to solve the greatest common divisor of 339, 729, 966, 183 i.e 3 in different methods as follows.
Given Input numbers are 339, 729, 966, 183
In the factoring method, we have to find the divisors of all numbers
Divisors of 339 :
The positive integer divisors of 339 that completely divides 339 are.
1, 3, 113, 339
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 183 :
The positive integer divisors of 183 that completely divides 183 are.
1, 3, 61, 183
GCD of numbers is the greatest common divisor
So, the GCD (339, 729, 966, 183) = 3.
Given numbers are 339, 729, 966, 183
The list of prime factors of all numbers are
Prime factors of 339 are 3 x 113
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 183 are 3 x 61
The highest common occurrence is 31
Therefore, GCD of 339, 729, 966, 183 is 3.
Given numbers are 339, 729, 966, 183
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(339, 729) = 82377
GCD(339, 729) = ( 339 x 729 ) / 82377
= 339 / 729
= 339
Step2:
LCM(3, 966) = 966
GCD(3, 966) = ( 3 x 966 ) / 966
= 3 / 966
= 3
Step3:
LCM(3, 183) = 183
GCD(3, 183) = ( 3 x 183 ) / 183
= 3 / 183
= 3
So, Greatest Common Divisor of 339, 729, 966, 183 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 339, 729, 966, 183
The greatest common divisor of numbers 339, 729, 966, 183 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 339, 729, 966, 183 is 3.
1. What is the GCD of 339, 729, 966, 183?
GCD of given numbers 339, 729, 966, 183 is 3
2. How to calculate the greatest common divisor of 339, 729, 966, 183?
We can find the highest common divisor of 339, 729, 966, 183 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 339, 729, 966, 183 i.e 3.
3. How can I use the GCD of 339, 729, 966, 183Calculator?
Out the numbers 339, 729, 966, 183 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.