Online GCD Calculator is useful to find the GCD of 927, 765, 231 quickly. Get the easiest ways to solve the greatest common divisor of 927, 765, 231 i.e 3 in different methods as follows.
Given Input numbers are 927, 765, 231
In the factoring method, we have to find the divisors of all numbers
Divisors of 927 :
The positive integer divisors of 927 that completely divides 927 are.
1, 3, 9, 103, 309, 927
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
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
GCD of numbers is the greatest common divisor
So, the GCD (927, 765, 231) = 3.
Given numbers are 927, 765, 231
The list of prime factors of all numbers are
Prime factors of 927 are 3 x 3 x 103
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 231 are 3 x 7 x 11
The highest common occurrence is 31
Therefore, GCD of 927, 765, 231 is 3.
Given numbers are 927, 765, 231
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(927, 765) = 78795
GCD(927, 765) = ( 927 x 765 ) / 78795
= 927 / 765
= 927
Step2:
LCM(9, 231) = 693
GCD(9, 231) = ( 9 x 231 ) / 693
= 9 / 231
= 9
So, Greatest Common Divisor of 927, 765, 231 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 927, 765, 231
The greatest common divisor of numbers 927, 765, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 927, 765, 231 is 3.
1. What is the GCD of 927, 765, 231?
GCD of given numbers 927, 765, 231 is 3
2. How to calculate the greatest common divisor of 927, 765, 231?
We can find the highest common divisor of 927, 765, 231 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 927, 765, 231 i.e 3.
3. How can I use the GCD of 927, 765, 231Calculator?
Out the numbers 927, 765, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.