Online GCD Calculator is useful to find the GCD of 397, 231, 864, 814 quickly. Get the easiest ways to solve the greatest common divisor of 397, 231, 864, 814 i.e 1 in different methods as follows.
Given Input numbers are 397, 231, 864, 814
In the factoring method, we have to find the divisors of all numbers
Divisors of 397 :
The positive integer divisors of 397 that completely divides 397 are.
1, 397
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
GCD of numbers is the greatest common divisor
So, the GCD (397, 231, 864, 814) = 1.
Given numbers are 397, 231, 864, 814
The list of prime factors of all numbers are
Prime factors of 397 are 397
Prime factors of 231 are 3 x 7 x 11
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 814 are 2 x 11 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 397, 231, 864, 814
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(397, 231) = 91707
GCD(397, 231) = ( 397 x 231 ) / 91707
= 397 / 231
= 397
Step2:
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
= 1 / 864
= 1
Step3:
LCM(1, 814) = 814
GCD(1, 814) = ( 1 x 814 ) / 814
= 1 / 814
= 1
So, Greatest Common Divisor of 397, 231, 864, 814 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 397, 231, 864, 814
The greatest common divisor of numbers 397, 231, 864, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 397, 231, 864, 814 is 1.
1. What is the GCD of 397, 231, 864, 814?
GCD of given numbers 397, 231, 864, 814 is 1
2. How to calculate the greatest common divisor of 397, 231, 864, 814?
We can find the highest common divisor of 397, 231, 864, 814 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 397, 231, 864, 814 i.e 1.
3. How can I use the GCD of 397, 231, 864, 814Calculator?
Out the numbers 397, 231, 864, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.