Online GCD Calculator is useful to find the GCD of 171, 561, 789 quickly. Get the easiest ways to solve the greatest common divisor of 171, 561, 789 i.e 3 in different methods as follows.
Given Input numbers are 171, 561, 789
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 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
GCD of numbers is the greatest common divisor
So, the GCD (171, 561, 789) = 3.
Given numbers are 171, 561, 789
The list of prime factors of all numbers are
Prime factors of 171 are 3 x 3 x 19
Prime factors of 561 are 3 x 11 x 17
Prime factors of 789 are 3 x 263
The highest common occurrence is 31
Therefore, GCD of 171, 561, 789 is 3.
Given numbers are 171, 561, 789
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(171, 561) = 31977
GCD(171, 561) = ( 171 x 561 ) / 31977
= 171 / 561
= 171
Step2:
LCM(3, 789) = 789
GCD(3, 789) = ( 3 x 789 ) / 789
= 3 / 789
= 3
So, Greatest Common Divisor of 171, 561, 789 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 171, 561, 789
The greatest common divisor of numbers 171, 561, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 171, 561, 789 is 3.
1. What is the GCD of 171, 561, 789?
GCD of given numbers 171, 561, 789 is 3
2. How to calculate the greatest common divisor of 171, 561, 789?
We can find the highest common divisor of 171, 561, 789 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, 561, 789 i.e 3.
3. How can I use the GCD of 171, 561, 789Calculator?
Out the numbers 171, 561, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.