Online GCD Calculator is useful to find the GCD of 339, 459, 180, 963 quickly. Get the easiest ways to solve the greatest common divisor of 339, 459, 180, 963 i.e 3 in different methods as follows.
Given Input numbers are 339, 459, 180, 963
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 459 :
The positive integer divisors of 459 that completely divides 459 are.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 963 :
The positive integer divisors of 963 that completely divides 963 are.
1, 3, 9, 107, 321, 963
GCD of numbers is the greatest common divisor
So, the GCD (339, 459, 180, 963) = 3.
Given numbers are 339, 459, 180, 963
The list of prime factors of all numbers are
Prime factors of 339 are 3 x 113
Prime factors of 459 are 3 x 3 x 3 x 17
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 963 are 3 x 3 x 107
The highest common occurrence is 31
Therefore, GCD of 339, 459, 180, 963 is 3.
Given numbers are 339, 459, 180, 963
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(339, 459) = 51867
GCD(339, 459) = ( 339 x 459 ) / 51867
= 339 / 459
= 339
Step2:
LCM(3, 180) = 180
GCD(3, 180) = ( 3 x 180 ) / 180
= 3 / 180
= 3
Step3:
LCM(3, 963) = 963
GCD(3, 963) = ( 3 x 963 ) / 963
= 3 / 963
= 3
So, Greatest Common Divisor of 339, 459, 180, 963 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 339, 459, 180, 963
The greatest common divisor of numbers 339, 459, 180, 963 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 339, 459, 180, 963 is 3.
1. What is the GCD of 339, 459, 180, 963?
GCD of given numbers 339, 459, 180, 963 is 3
2. How to calculate the greatest common divisor of 339, 459, 180, 963?
We can find the highest common divisor of 339, 459, 180, 963 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, 459, 180, 963 i.e 3.
3. How can I use the GCD of 339, 459, 180, 963Calculator?
Out the numbers 339, 459, 180, 963 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.