Online GCD Calculator is useful to find the GCD of 171, 216, 831 quickly. Get the easiest ways to solve the greatest common divisor of 171, 216, 831 i.e 3 in different methods as follows.
Given Input numbers are 171, 216, 831
In the factoring method, we have to find the divisors of all numbers
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 831 :
The positive integer divisors of 831 that completely divides 831 are.
1, 3, 277, 831
GCD of numbers is the greatest common divisor
So, the GCD (171, 216, 831) = 3.
Given numbers are 171, 216, 831
The list of prime factors of all numbers are
Prime factors of 171 are 3 x 3 x 19
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 831 are 3 x 277
The highest common occurrence is 31
Therefore, GCD of 171, 216, 831 is 3.
Given numbers are 171, 216, 831
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(171, 216) = 4104
GCD(171, 216) = ( 171 x 216 ) / 4104
= 171 / 216
= 171
Step2:
LCM(9, 831) = 2493
GCD(9, 831) = ( 9 x 831 ) / 2493
= 9 / 831
= 9
So, Greatest Common Divisor of 171, 216, 831 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 171, 216, 831
The greatest common divisor of numbers 171, 216, 831 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 171, 216, 831 is 3.
1. What is the GCD of 171, 216, 831?
GCD of given numbers 171, 216, 831 is 3
2. How to calculate the greatest common divisor of 171, 216, 831?
We can find the highest common divisor of 171, 216, 831 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 171, 216, 831 i.e 3.
3. How can I use the GCD of 171, 216, 831Calculator?
Out the numbers 171, 216, 831 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.