Online GCD Calculator is useful to find the GCD of 993, 171, 729 quickly. Get the easiest ways to solve the greatest common divisor of 993, 171, 729 i.e 3 in different methods as follows.
Given Input numbers are 993, 171, 729
In the factoring method, we have to find the divisors of all numbers
Divisors of 993 :
The positive integer divisors of 993 that completely divides 993 are.
1, 3, 331, 993
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
GCD of numbers is the greatest common divisor
So, the GCD (993, 171, 729) = 3.
Given numbers are 993, 171, 729
The list of prime factors of all numbers are
Prime factors of 993 are 3 x 331
Prime factors of 171 are 3 x 3 x 19
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 993, 171, 729 is 3.
Given numbers are 993, 171, 729
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(993, 171) = 56601
GCD(993, 171) = ( 993 x 171 ) / 56601
= 993 / 171
= 993
Step2:
LCM(3, 729) = 729
GCD(3, 729) = ( 3 x 729 ) / 729
= 3 / 729
= 3
So, Greatest Common Divisor of 993, 171, 729 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 993, 171, 729
The greatest common divisor of numbers 993, 171, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 171, 729 is 3.
1. What is the GCD of 993, 171, 729?
GCD of given numbers 993, 171, 729 is 3
2. How to calculate the greatest common divisor of 993, 171, 729?
We can find the highest common divisor of 993, 171, 729 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 993, 171, 729 i.e 3.
3. How can I use the GCD of 993, 171, 729Calculator?
Out the numbers 993, 171, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.