Online GCD Calculator is useful to find the GCD of 393, 861, 558, 765 quickly. Get the easiest ways to solve the greatest common divisor of 393, 861, 558, 765 i.e 3 in different methods as follows.
Given Input numbers are 393, 861, 558, 765
In the factoring method, we have to find the divisors of all numbers
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
GCD of numbers is the greatest common divisor
So, the GCD (393, 861, 558, 765) = 3.
Given numbers are 393, 861, 558, 765
The list of prime factors of all numbers are
Prime factors of 393 are 3 x 131
Prime factors of 861 are 3 x 7 x 41
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 765 are 3 x 3 x 5 x 17
The highest common occurrence is 31
Therefore, GCD of 393, 861, 558, 765 is 3.
Given numbers are 393, 861, 558, 765
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(393, 861) = 112791
GCD(393, 861) = ( 393 x 861 ) / 112791
= 393 / 861
= 393
Step2:
LCM(3, 558) = 558
GCD(3, 558) = ( 3 x 558 ) / 558
= 3 / 558
= 3
Step3:
LCM(3, 765) = 765
GCD(3, 765) = ( 3 x 765 ) / 765
= 3 / 765
= 3
So, Greatest Common Divisor of 393, 861, 558, 765 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 393, 861, 558, 765
The greatest common divisor of numbers 393, 861, 558, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 393, 861, 558, 765 is 3.
1. What is the GCD of 393, 861, 558, 765?
GCD of given numbers 393, 861, 558, 765 is 3
2. How to calculate the greatest common divisor of 393, 861, 558, 765?
We can find the highest common divisor of 393, 861, 558, 765 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 393, 861, 558, 765 i.e 3.
3. How can I use the GCD of 393, 861, 558, 765Calculator?
Out the numbers 393, 861, 558, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.