Online GCD Calculator is useful to find the GCD of 339, 741, 129, 189 quickly. Get the easiest ways to solve the greatest common divisor of 339, 741, 129, 189 i.e 3 in different methods as follows.
Given Input numbers are 339, 741, 129, 189
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 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
GCD of numbers is the greatest common divisor
So, the GCD (339, 741, 129, 189) = 3.
Given numbers are 339, 741, 129, 189
The list of prime factors of all numbers are
Prime factors of 339 are 3 x 113
Prime factors of 741 are 3 x 13 x 19
Prime factors of 129 are 3 x 43
Prime factors of 189 are 3 x 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 339, 741, 129, 189 is 3.
Given numbers are 339, 741, 129, 189
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(339, 741) = 83733
GCD(339, 741) = ( 339 x 741 ) / 83733
= 339 / 741
= 339
Step2:
LCM(3, 129) = 129
GCD(3, 129) = ( 3 x 129 ) / 129
= 3 / 129
= 3
Step3:
LCM(3, 189) = 189
GCD(3, 189) = ( 3 x 189 ) / 189
= 3 / 189
= 3
So, Greatest Common Divisor of 339, 741, 129, 189 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 339, 741, 129, 189
The greatest common divisor of numbers 339, 741, 129, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 339, 741, 129, 189 is 3.
1. What is the GCD of 339, 741, 129, 189?
GCD of given numbers 339, 741, 129, 189 is 3
2. How to calculate the greatest common divisor of 339, 741, 129, 189?
We can find the highest common divisor of 339, 741, 129, 189 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, 741, 129, 189 i.e 3.
3. How can I use the GCD of 339, 741, 129, 189Calculator?
Out the numbers 339, 741, 129, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.