Online GCD Calculator is useful to find the GCD of 231, 867, 359, 999 quickly. Get the easiest ways to solve the greatest common divisor of 231, 867, 359, 999 i.e 1 in different methods as follows.
Given Input numbers are 231, 867, 359, 999
In the factoring method, we have to find the divisors of all numbers
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 867 :
The positive integer divisors of 867 that completely divides 867 are.
1, 3, 17, 51, 289, 867
Divisors of 359 :
The positive integer divisors of 359 that completely divides 359 are.
1, 359
Divisors of 999 :
The positive integer divisors of 999 that completely divides 999 are.
1, 3, 9, 27, 37, 111, 333, 999
GCD of numbers is the greatest common divisor
So, the GCD (231, 867, 359, 999) = 1.
Given numbers are 231, 867, 359, 999
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 867 are 3 x 17 x 17
Prime factors of 359 are 359
Prime factors of 999 are 3 x 3 x 3 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 231, 867, 359, 999
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 867) = 66759
GCD(231, 867) = ( 231 x 867 ) / 66759
= 231 / 867
= 231
Step2:
LCM(3, 359) = 1077
GCD(3, 359) = ( 3 x 359 ) / 1077
= 3 / 359
= 3
Step3:
LCM(1, 999) = 999
GCD(1, 999) = ( 1 x 999 ) / 999
= 1 / 999
= 1
So, Greatest Common Divisor of 231, 867, 359, 999 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 231, 867, 359, 999
The greatest common divisor of numbers 231, 867, 359, 999 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 867, 359, 999 is 1.
1. What is the GCD of 231, 867, 359, 999?
GCD of given numbers 231, 867, 359, 999 is 1
2. How to calculate the greatest common divisor of 231, 867, 359, 999?
We can find the highest common divisor of 231, 867, 359, 999 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 231, 867, 359, 999 i.e 1.
3. How can I use the GCD of 231, 867, 359, 999Calculator?
Out the numbers 231, 867, 359, 999 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.