Online GCD Calculator is useful to find the GCD of 231, 203, 108, 297 quickly. Get the easiest ways to solve the greatest common divisor of 231, 203, 108, 297 i.e 1 in different methods as follows.
Given Input numbers are 231, 203, 108, 297
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 203 :
The positive integer divisors of 203 that completely divides 203 are.
1, 7, 29, 203
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
GCD of numbers is the greatest common divisor
So, the GCD (231, 203, 108, 297) = 1.
Given numbers are 231, 203, 108, 297
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 203 are 7 x 29
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 297 are 3 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 231, 203, 108, 297
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 203) = 6699
GCD(231, 203) = ( 231 x 203 ) / 6699
= 231 / 203
= 231
Step2:
LCM(7, 108) = 756
GCD(7, 108) = ( 7 x 108 ) / 756
= 7 / 108
= 7
Step3:
LCM(1, 297) = 297
GCD(1, 297) = ( 1 x 297 ) / 297
= 1 / 297
= 1
So, Greatest Common Divisor of 231, 203, 108, 297 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 231, 203, 108, 297
The greatest common divisor of numbers 231, 203, 108, 297 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 203, 108, 297 is 1.
1. What is the GCD of 231, 203, 108, 297?
GCD of given numbers 231, 203, 108, 297 is 1
2. How to calculate the greatest common divisor of 231, 203, 108, 297?
We can find the highest common divisor of 231, 203, 108, 297 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, 203, 108, 297 i.e 1.
3. How can I use the GCD of 231, 203, 108, 297Calculator?
Out the numbers 231, 203, 108, 297 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.