Online GCD Calculator is useful to find the GCD of 279, 711, 114, 327 quickly. Get the easiest ways to solve the greatest common divisor of 279, 711, 114, 327 i.e 3 in different methods as follows.
Given Input numbers are 279, 711, 114, 327
In the factoring method, we have to find the divisors of all numbers
Divisors of 279 :
The positive integer divisors of 279 that completely divides 279 are.
1, 3, 9, 31, 93, 279
Divisors of 711 :
The positive integer divisors of 711 that completely divides 711 are.
1, 3, 9, 79, 237, 711
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 327 :
The positive integer divisors of 327 that completely divides 327 are.
1, 3, 109, 327
GCD of numbers is the greatest common divisor
So, the GCD (279, 711, 114, 327) = 3.
Given numbers are 279, 711, 114, 327
The list of prime factors of all numbers are
Prime factors of 279 are 3 x 3 x 31
Prime factors of 711 are 3 x 3 x 79
Prime factors of 114 are 2 x 3 x 19
Prime factors of 327 are 3 x 109
The highest common occurrence is 31
Therefore, GCD of 279, 711, 114, 327 is 3.
Given numbers are 279, 711, 114, 327
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(279, 711) = 22041
GCD(279, 711) = ( 279 x 711 ) / 22041
= 279 / 711
= 279
Step2:
LCM(9, 114) = 342
GCD(9, 114) = ( 9 x 114 ) / 342
= 9 / 114
= 9
Step3:
LCM(3, 327) = 327
GCD(3, 327) = ( 3 x 327 ) / 327
= 3 / 327
= 3
So, Greatest Common Divisor of 279, 711, 114, 327 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 279, 711, 114, 327
The greatest common divisor of numbers 279, 711, 114, 327 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 279, 711, 114, 327 is 3.
1. What is the GCD of 279, 711, 114, 327?
GCD of given numbers 279, 711, 114, 327 is 3
2. How to calculate the greatest common divisor of 279, 711, 114, 327?
We can find the highest common divisor of 279, 711, 114, 327 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 279, 711, 114, 327 i.e 3.
3. How can I use the GCD of 279, 711, 114, 327Calculator?
Out the numbers 279, 711, 114, 327 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.