Online GCD Calculator is useful to find the GCD of 537, 774, 864, 393 quickly. Get the easiest ways to solve the greatest common divisor of 537, 774, 864, 393 i.e 3 in different methods as follows.
Given Input numbers are 537, 774, 864, 393
In the factoring method, we have to find the divisors of all numbers
Divisors of 537 :
The positive integer divisors of 537 that completely divides 537 are.
1, 3, 179, 537
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 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
GCD of numbers is the greatest common divisor
So, the GCD (537, 774, 864, 393) = 3.
Given numbers are 537, 774, 864, 393
The list of prime factors of all numbers are
Prime factors of 537 are 3 x 179
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 393 are 3 x 131
The highest common occurrence is 31
Therefore, GCD of 537, 774, 864, 393 is 3.
Given numbers are 537, 774, 864, 393
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(537, 774) = 138546
GCD(537, 774) = ( 537 x 774 ) / 138546
= 537 / 774
= 537
Step2:
LCM(3, 864) = 864
GCD(3, 864) = ( 3 x 864 ) / 864
= 3 / 864
= 3
Step3:
LCM(3, 393) = 393
GCD(3, 393) = ( 3 x 393 ) / 393
= 3 / 393
= 3
So, Greatest Common Divisor of 537, 774, 864, 393 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 537, 774, 864, 393
The greatest common divisor of numbers 537, 774, 864, 393 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 537, 774, 864, 393 is 3.
1. What is the GCD of 537, 774, 864, 393?
GCD of given numbers 537, 774, 864, 393 is 3
2. How to calculate the greatest common divisor of 537, 774, 864, 393?
We can find the highest common divisor of 537, 774, 864, 393 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 537, 774, 864, 393 i.e 3.
3. How can I use the GCD of 537, 774, 864, 393Calculator?
Out the numbers 537, 774, 864, 393 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.