Online GCD Calculator is useful to find the GCD of 774, 576, 744, 327 quickly. Get the easiest ways to solve the greatest common divisor of 774, 576, 744, 327 i.e 3 in different methods as follows.
Given Input numbers are 774, 576, 744, 327
In the factoring method, we have to find the divisors of all numbers
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
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 (774, 576, 744, 327) = 3.
Given numbers are 774, 576, 744, 327
The list of prime factors of all numbers are
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 327 are 3 x 109
The highest common occurrence is 31
Therefore, GCD of 774, 576, 744, 327 is 3.
Given numbers are 774, 576, 744, 327
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(774, 576) = 24768
GCD(774, 576) = ( 774 x 576 ) / 24768
= 774 / 576
= 774
Step2:
LCM(18, 744) = 2232
GCD(18, 744) = ( 18 x 744 ) / 2232
= 18 / 744
= 18
Step3:
LCM(6, 327) = 654
GCD(6, 327) = ( 6 x 327 ) / 654
= 6 / 327
= 6
So, Greatest Common Divisor of 774, 576, 744, 327 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 774, 576, 744, 327
The greatest common divisor of numbers 774, 576, 744, 327 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 576, 744, 327 is 3.
1. What is the GCD of 774, 576, 744, 327?
GCD of given numbers 774, 576, 744, 327 is 3
2. How to calculate the greatest common divisor of 774, 576, 744, 327?
We can find the highest common divisor of 774, 576, 744, 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 774, 576, 744, 327 i.e 3.
3. How can I use the GCD of 774, 576, 744, 327Calculator?
Out the numbers 774, 576, 744, 327 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.