GCD of 471, 189, 660 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 471, 189, 660 quickly. Get the easiest ways to solve the greatest common divisor of 471, 189, 660 i.e 3 in different methods as follows.
Given Input numbers are 471, 189, 660
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 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
GCD of numbers is the greatest common divisor
So, the GCD (471, 189, 660) = 3.
Given numbers are 471, 189, 660
The list of prime factors of all numbers are
Prime factors of 471 are 3 x 157
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 471, 189, 660 is 3.
Steps to Calculate GCD of 471, 189, 660 using LCM Formula
Given numbers are 471, 189, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(471, 189) = 29673
GCD(471, 189) = ( 471 x 189 ) / 29673
= 471 / 189
= 471
Step2:
LCM(3, 660) = 660
GCD(3, 660) = ( 3 x 660 ) / 660
= 3 / 660
= 3
So, Greatest Common Divisor of 471, 189, 660 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 471, 189, 660
Given numbers are 471, 189, 660
The greatest common divisor of numbers 471, 189, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 189, 660 is 3.
FAQs on GCD of 471, 189, 660 Calculator
1. What is the GCD of 471, 189, 660?
GCD of given numbers 471, 189, 660 is 3
2. How to calculate the greatest common divisor of 471, 189, 660?
We can find the highest common divisor of 471, 189, 660 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, 189, 660 i.e 3.
3. How can I use the GCD of 471, 189, 660Calculator?
Out the numbers 471, 189, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.