Online GCD Calculator is useful to find the GCD of 387, 960, 813 quickly. Get the easiest ways to solve the greatest common divisor of 387, 960, 813 i.e 3 in different methods as follows.
Given Input numbers are 387, 960, 813
In the factoring method, we have to find the divisors of all numbers
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 813 :
The positive integer divisors of 813 that completely divides 813 are.
1, 3, 271, 813
GCD of numbers is the greatest common divisor
So, the GCD (387, 960, 813) = 3.
Given numbers are 387, 960, 813
The list of prime factors of all numbers are
Prime factors of 387 are 3 x 3 x 43
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 813 are 3 x 271
The highest common occurrence is 31
Therefore, GCD of 387, 960, 813 is 3.
Given numbers are 387, 960, 813
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(387, 960) = 123840
GCD(387, 960) = ( 387 x 960 ) / 123840
= 387 / 960
= 387
Step2:
LCM(3, 813) = 813
GCD(3, 813) = ( 3 x 813 ) / 813
= 3 / 813
= 3
So, Greatest Common Divisor of 387, 960, 813 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 387, 960, 813
The greatest common divisor of numbers 387, 960, 813 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 960, 813 is 3.
1. What is the GCD of 387, 960, 813?
GCD of given numbers 387, 960, 813 is 3
2. How to calculate the greatest common divisor of 387, 960, 813?
We can find the highest common divisor of 387, 960, 813 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 387, 960, 813 i.e 3.
3. How can I use the GCD of 387, 960, 813Calculator?
Out the numbers 387, 960, 813 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.