Online GCD Calculator is useful to find the GCD of 231, 387, 786 quickly. Get the easiest ways to solve the greatest common divisor of 231, 387, 786 i.e 3 in different methods as follows.
Given Input numbers are 231, 387, 786
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 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
Divisors of 786 :
The positive integer divisors of 786 that completely divides 786 are.
1, 2, 3, 6, 131, 262, 393, 786
GCD of numbers is the greatest common divisor
So, the GCD (231, 387, 786) = 3.
Given numbers are 231, 387, 786
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 387 are 3 x 3 x 43
Prime factors of 786 are 2 x 3 x 131
The highest common occurrence is 31
Therefore, GCD of 231, 387, 786 is 3.
Given numbers are 231, 387, 786
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 387) = 29799
GCD(231, 387) = ( 231 x 387 ) / 29799
= 231 / 387
= 231
Step2:
LCM(3, 786) = 786
GCD(3, 786) = ( 3 x 786 ) / 786
= 3 / 786
= 3
So, Greatest Common Divisor of 231, 387, 786 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 231, 387, 786
The greatest common divisor of numbers 231, 387, 786 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 387, 786 is 3.
1. What is the GCD of 231, 387, 786?
GCD of given numbers 231, 387, 786 is 3
2. How to calculate the greatest common divisor of 231, 387, 786?
We can find the highest common divisor of 231, 387, 786 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, 387, 786 i.e 3.
3. How can I use the GCD of 231, 387, 786Calculator?
Out the numbers 231, 387, 786 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.