Online GCD Calculator is useful to find the GCD of 738, 279, 459 quickly. Get the easiest ways to solve the greatest common divisor of 738, 279, 459 i.e 9 in different methods as follows.
Given Input numbers are 738, 279, 459
In the factoring method, we have to find the divisors of all numbers
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 279 :
The positive integer divisors of 279 that completely divides 279 are.
1, 3, 9, 31, 93, 279
Divisors of 459 :
The positive integer divisors of 459 that completely divides 459 are.
1, 3, 9, 17, 27, 51, 153, 459
GCD of numbers is the greatest common divisor
So, the GCD (738, 279, 459) = 9.
Given numbers are 738, 279, 459
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 279 are 3 x 3 x 31
Prime factors of 459 are 3 x 3 x 3 x 17
The highest common occurrence is 32
Therefore, GCD of 738, 279, 459 is 9.
Given numbers are 738, 279, 459
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 279) = 22878
GCD(738, 279) = ( 738 x 279 ) / 22878
= 738 / 279
= 738
Step2:
LCM(9, 459) = 459
GCD(9, 459) = ( 9 x 459 ) / 459
= 9 / 459
= 9
So, Greatest Common Divisor of 738, 279, 459 is 9
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 279, 459
The greatest common divisor of numbers 738, 279, 459 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 279, 459 is 9.
1. What is the GCD of 738, 279, 459?
GCD of given numbers 738, 279, 459 is 9
2. How to calculate the greatest common divisor of 738, 279, 459?
We can find the highest common divisor of 738, 279, 459 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 738, 279, 459 i.e 9.
3. How can I use the GCD of 738, 279, 459Calculator?
Out the numbers 738, 279, 459 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.