Online GCD Calculator is useful to find the GCD of 231, 269, 397, 313 quickly. Get the easiest ways to solve the greatest common divisor of 231, 269, 397, 313 i.e 1 in different methods as follows.
Given Input numbers are 231, 269, 397, 313
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 269 :
The positive integer divisors of 269 that completely divides 269 are.
1, 269
Divisors of 397 :
The positive integer divisors of 397 that completely divides 397 are.
1, 397
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
GCD of numbers is the greatest common divisor
So, the GCD (231, 269, 397, 313) = 1.
Given numbers are 231, 269, 397, 313
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 269 are 269
Prime factors of 397 are 397
Prime factors of 313 are 313
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 231, 269, 397, 313
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 269) = 62139
GCD(231, 269) = ( 231 x 269 ) / 62139
= 231 / 269
= 231
Step2:
LCM(1, 397) = 397
GCD(1, 397) = ( 1 x 397 ) / 397
= 1 / 397
= 1
Step3:
LCM(1, 313) = 313
GCD(1, 313) = ( 1 x 313 ) / 313
= 1 / 313
= 1
So, Greatest Common Divisor of 231, 269, 397, 313 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 231, 269, 397, 313
The greatest common divisor of numbers 231, 269, 397, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 269, 397, 313 is 1.
1. What is the GCD of 231, 269, 397, 313?
GCD of given numbers 231, 269, 397, 313 is 1
2. How to calculate the greatest common divisor of 231, 269, 397, 313?
We can find the highest common divisor of 231, 269, 397, 313 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, 269, 397, 313 i.e 1.
3. How can I use the GCD of 231, 269, 397, 313Calculator?
Out the numbers 231, 269, 397, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.