Online GCD Calculator is useful to find the GCD of 819, 393, 627, 387 quickly. Get the easiest ways to solve the greatest common divisor of 819, 393, 627, 387 i.e 3 in different methods as follows.
Given Input numbers are 819, 393, 627, 387
In the factoring method, we have to find the divisors of all numbers
Divisors of 819 :
The positive integer divisors of 819 that completely divides 819 are.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
Divisors of 627 :
The positive integer divisors of 627 that completely divides 627 are.
1, 3, 11, 19, 33, 57, 209, 627
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
GCD of numbers is the greatest common divisor
So, the GCD (819, 393, 627, 387) = 3.
Given numbers are 819, 393, 627, 387
The list of prime factors of all numbers are
Prime factors of 819 are 3 x 3 x 7 x 13
Prime factors of 393 are 3 x 131
Prime factors of 627 are 3 x 11 x 19
Prime factors of 387 are 3 x 3 x 43
The highest common occurrence is 31
Therefore, GCD of 819, 393, 627, 387 is 3.
Given numbers are 819, 393, 627, 387
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(819, 393) = 107289
GCD(819, 393) = ( 819 x 393 ) / 107289
= 819 / 393
= 819
Step2:
LCM(3, 627) = 627
GCD(3, 627) = ( 3 x 627 ) / 627
= 3 / 627
= 3
Step3:
LCM(3, 387) = 387
GCD(3, 387) = ( 3 x 387 ) / 387
= 3 / 387
= 3
So, Greatest Common Divisor of 819, 393, 627, 387 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 819, 393, 627, 387
The greatest common divisor of numbers 819, 393, 627, 387 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 819, 393, 627, 387 is 3.
1. What is the GCD of 819, 393, 627, 387?
GCD of given numbers 819, 393, 627, 387 is 3
2. How to calculate the greatest common divisor of 819, 393, 627, 387?
We can find the highest common divisor of 819, 393, 627, 387 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 819, 393, 627, 387 i.e 3.
3. How can I use the GCD of 819, 393, 627, 387Calculator?
Out the numbers 819, 393, 627, 387 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.