Online GCD Calculator is useful to find the GCD of 339, 273, 372, 363 quickly. Get the easiest ways to solve the greatest common divisor of 339, 273, 372, 363 i.e 3 in different methods as follows.
Given Input numbers are 339, 273, 372, 363
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 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
GCD of numbers is the greatest common divisor
So, the GCD (339, 273, 372, 363) = 3.
Given numbers are 339, 273, 372, 363
The list of prime factors of all numbers are
Prime factors of 339 are 3 x 113
Prime factors of 273 are 3 x 7 x 13
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 363 are 3 x 11 x 11
The highest common occurrence is 31
Therefore, GCD of 339, 273, 372, 363 is 3.
Given numbers are 339, 273, 372, 363
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(339, 273) = 30849
GCD(339, 273) = ( 339 x 273 ) / 30849
= 339 / 273
= 339
Step2:
LCM(3, 372) = 372
GCD(3, 372) = ( 3 x 372 ) / 372
= 3 / 372
= 3
Step3:
LCM(3, 363) = 363
GCD(3, 363) = ( 3 x 363 ) / 363
= 3 / 363
= 3
So, Greatest Common Divisor of 339, 273, 372, 363 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 339, 273, 372, 363
The greatest common divisor of numbers 339, 273, 372, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 339, 273, 372, 363 is 3.
1. What is the GCD of 339, 273, 372, 363?
GCD of given numbers 339, 273, 372, 363 is 3
2. How to calculate the greatest common divisor of 339, 273, 372, 363?
We can find the highest common divisor of 339, 273, 372, 363 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, 273, 372, 363 i.e 3.
3. How can I use the GCD of 339, 273, 372, 363Calculator?
Out the numbers 339, 273, 372, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.