GCD of 717, 189, 33 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 717, 189, 33 quickly. Get the easiest ways to solve the greatest common divisor of 717, 189, 33 i.e 3 in different methods as follows.
Given Input numbers are 717, 189, 33
In the factoring method, we have to find the divisors of all numbers
Divisors of 717 :
The positive integer divisors of 717 that completely divides 717 are.
1, 3, 239, 717
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 33 :
The positive integer divisors of 33 that completely divides 33 are.
1, 3, 11, 33
GCD of numbers is the greatest common divisor
So, the GCD (717, 189, 33) = 3.
Given numbers are 717, 189, 33
The list of prime factors of all numbers are
Prime factors of 717 are 3 x 239
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 33 are 3 x 11
The highest common occurrence is 31
Therefore, GCD of 717, 189, 33 is 3.
Steps to Calculate GCD of 717, 189, 33 using LCM Formula
Given numbers are 717, 189, 33
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(717, 189) = 45171
GCD(717, 189) = ( 717 x 189 ) / 45171
= 717 / 189
= 717
Step2:
LCM(3, 33) = 33
GCD(3, 33) = ( 3 x 33 ) / 33
= 3 / 33
= 3
So, Greatest Common Divisor of 717, 189, 33 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 717, 189, 33
Given numbers are 717, 189, 33
The greatest common divisor of numbers 717, 189, 33 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 717, 189, 33 is 3.
FAQs on GCD of 717, 189, 33 Calculator
1. What is the GCD of 717, 189, 33?
GCD of given numbers 717, 189, 33 is 3
2. How to calculate the greatest common divisor of 717, 189, 33?
We can find the highest common divisor of 717, 189, 33 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 717, 189, 33 i.e 3.
3. How can I use the GCD of 717, 189, 33Calculator?
Out the numbers 717, 189, 33 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.