Online GCD Calculator is useful to find the GCD of 231, 970, 116, 997 quickly. Get the easiest ways to solve the greatest common divisor of 231, 970, 116, 997 i.e 1 in different methods as follows.
Given Input numbers are 231, 970, 116, 997
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 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
GCD of numbers is the greatest common divisor
So, the GCD (231, 970, 116, 997) = 1.
Given numbers are 231, 970, 116, 997
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 970 are 2 x 5 x 97
Prime factors of 116 are 2 x 2 x 29
Prime factors of 997 are 997
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 231, 970, 116, 997
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 970) = 224070
GCD(231, 970) = ( 231 x 970 ) / 224070
= 231 / 970
= 231
Step2:
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
= 1 / 116
= 1
Step3:
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
= 1 / 997
= 1
So, Greatest Common Divisor of 231, 970, 116, 997 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 231, 970, 116, 997
The greatest common divisor of numbers 231, 970, 116, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 970, 116, 997 is 1.
1. What is the GCD of 231, 970, 116, 997?
GCD of given numbers 231, 970, 116, 997 is 1
2. How to calculate the greatest common divisor of 231, 970, 116, 997?
We can find the highest common divisor of 231, 970, 116, 997 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, 970, 116, 997 i.e 1.
3. How can I use the GCD of 231, 970, 116, 997Calculator?
Out the numbers 231, 970, 116, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.