Online GCD Calculator is useful to find the GCD of 687, 806, 231 quickly. Get the easiest ways to solve the greatest common divisor of 687, 806, 231 i.e 1 in different methods as follows.
Given Input numbers are 687, 806, 231
In the factoring method, we have to find the divisors of all numbers
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 806 :
The positive integer divisors of 806 that completely divides 806 are.
1, 2, 13, 26, 31, 62, 403, 806
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 (687, 806, 231) = 1.
Given numbers are 687, 806, 231
The list of prime factors of all numbers are
Prime factors of 687 are 3 x 229
Prime factors of 806 are 2 x 13 x 31
Prime factors of 231 are 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 687, 806, 231
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(687, 806) = 553722
GCD(687, 806) = ( 687 x 806 ) / 553722
= 687 / 806
= 687
Step2:
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
= 1 / 231
= 1
So, Greatest Common Divisor of 687, 806, 231 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 687, 806, 231
The greatest common divisor of numbers 687, 806, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 806, 231 is 1.
1. What is the GCD of 687, 806, 231?
GCD of given numbers 687, 806, 231 is 1
2. How to calculate the greatest common divisor of 687, 806, 231?
We can find the highest common divisor of 687, 806, 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 687, 806, 231 i.e 1.
3. How can I use the GCD of 687, 806, 231Calculator?
Out the numbers 687, 806, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.