Online GCD Calculator is useful to find the GCD of 861, 384, 999, 831 quickly. Get the easiest ways to solve the greatest common divisor of 861, 384, 999, 831 i.e 3 in different methods as follows.
Given Input numbers are 861, 384, 999, 831
In the factoring method, we have to find the divisors of all numbers
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 999 :
The positive integer divisors of 999 that completely divides 999 are.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 831 :
The positive integer divisors of 831 that completely divides 831 are.
1, 3, 277, 831
GCD of numbers is the greatest common divisor
So, the GCD (861, 384, 999, 831) = 3.
Given numbers are 861, 384, 999, 831
The list of prime factors of all numbers are
Prime factors of 861 are 3 x 7 x 41
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 999 are 3 x 3 x 3 x 37
Prime factors of 831 are 3 x 277
The highest common occurrence is 31
Therefore, GCD of 861, 384, 999, 831 is 3.
Given numbers are 861, 384, 999, 831
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(861, 384) = 110208
GCD(861, 384) = ( 861 x 384 ) / 110208
= 861 / 384
= 861
Step2:
LCM(3, 999) = 999
GCD(3, 999) = ( 3 x 999 ) / 999
= 3 / 999
= 3
Step3:
LCM(3, 831) = 831
GCD(3, 831) = ( 3 x 831 ) / 831
= 3 / 831
= 3
So, Greatest Common Divisor of 861, 384, 999, 831 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 861, 384, 999, 831
The greatest common divisor of numbers 861, 384, 999, 831 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 384, 999, 831 is 3.
1. What is the GCD of 861, 384, 999, 831?
GCD of given numbers 861, 384, 999, 831 is 3
2. How to calculate the greatest common divisor of 861, 384, 999, 831?
We can find the highest common divisor of 861, 384, 999, 831 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 861, 384, 999, 831 i.e 3.
3. How can I use the GCD of 861, 384, 999, 831Calculator?
Out the numbers 861, 384, 999, 831 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.