GCD of 189, 660, 420 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 189, 660, 420 quickly. Get the easiest ways to solve the greatest common divisor of 189, 660, 420 i.e 3 in different methods as follows.
Given Input numbers are 189, 660, 420
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (189, 660, 420) = 3.
Given numbers are 189, 660, 420
The list of prime factors of all numbers are
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
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 31
Therefore, GCD of 189, 660, 420 is 3.
Steps to Calculate GCD of 189, 660, 420 using LCM Formula
Given numbers are 189, 660, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 660) = 41580
GCD(189, 660) = ( 189 x 660 ) / 41580
= 189 / 660
= 189
Step2:
LCM(3, 420) = 420
GCD(3, 420) = ( 3 x 420 ) / 420
= 3 / 420
= 3
So, Greatest Common Divisor of 189, 660, 420 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 189, 660, 420
Given numbers are 189, 660, 420
The greatest common divisor of numbers 189, 660, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 660, 420 is 3.
FAQs on GCD of 189, 660, 420 Calculator
1. What is the GCD of 189, 660, 420?
GCD of given numbers 189, 660, 420 is 3
2. How to calculate the greatest common divisor of 189, 660, 420?
We can find the highest common divisor of 189, 660, 420 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 189, 660, 420 i.e 3.
3. How can I use the GCD of 189, 660, 420Calculator?
Out the numbers 189, 660, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.