Online GCD Calculator is useful to find the GCD of 463, 231, 117 quickly. Get the easiest ways to solve the greatest common divisor of 463, 231, 117 i.e 1 in different methods as follows.
Given Input numbers are 463, 231, 117
In the factoring method, we have to find the divisors of all numbers
Divisors of 463 :
The positive integer divisors of 463 that completely divides 463 are.
1, 463
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
GCD of numbers is the greatest common divisor
So, the GCD (463, 231, 117) = 1.
Given numbers are 463, 231, 117
The list of prime factors of all numbers are
Prime factors of 463 are 463
Prime factors of 231 are 3 x 7 x 11
Prime factors of 117 are 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 463, 231, 117
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(463, 231) = 106953
GCD(463, 231) = ( 463 x 231 ) / 106953
= 463 / 231
= 463
Step2:
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
= 1 / 117
= 1
So, Greatest Common Divisor of 463, 231, 117 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 463, 231, 117
The greatest common divisor of numbers 463, 231, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 463, 231, 117 is 1.
1. What is the GCD of 463, 231, 117?
GCD of given numbers 463, 231, 117 is 1
2. How to calculate the greatest common divisor of 463, 231, 117?
We can find the highest common divisor of 463, 231, 117 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 463, 231, 117 i.e 1.
3. How can I use the GCD of 463, 231, 117Calculator?
Out the numbers 463, 231, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.