Online GCD Calculator is useful to find the GCD of 471, 819, 117 quickly. Get the easiest ways to solve the greatest common divisor of 471, 819, 117 i.e 3 in different methods as follows.
Given Input numbers are 471, 819, 117
In the factoring method, we have to find the divisors of all numbers
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
Divisors of 819 :
The positive integer divisors of 819 that completely divides 819 are.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
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 (471, 819, 117) = 3.
Given numbers are 471, 819, 117
The list of prime factors of all numbers are
Prime factors of 471 are 3 x 157
Prime factors of 819 are 3 x 3 x 7 x 13
Prime factors of 117 are 3 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 471, 819, 117 is 3.
Given numbers are 471, 819, 117
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(471, 819) = 128583
GCD(471, 819) = ( 471 x 819 ) / 128583
= 471 / 819
= 471
Step2:
LCM(3, 117) = 117
GCD(3, 117) = ( 3 x 117 ) / 117
= 3 / 117
= 3
So, Greatest Common Divisor of 471, 819, 117 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 471, 819, 117
The greatest common divisor of numbers 471, 819, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 819, 117 is 3.
1. What is the GCD of 471, 819, 117?
GCD of given numbers 471, 819, 117 is 3
2. How to calculate the greatest common divisor of 471, 819, 117?
We can find the highest common divisor of 471, 819, 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 471, 819, 117 i.e 3.
3. How can I use the GCD of 471, 819, 117Calculator?
Out the numbers 471, 819, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.