GCD of 209, 540, 189 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 209, 540, 189 quickly. Get the easiest ways to solve the greatest common divisor of 209, 540, 189 i.e 1 in different methods as follows.
Given Input numbers are 209, 540, 189
In the factoring method, we have to find the divisors of all numbers
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
GCD of numbers is the greatest common divisor
So, the GCD (209, 540, 189) = 1.
Given numbers are 209, 540, 189
The list of prime factors of all numbers are
Prime factors of 209 are 11 x 19
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 189 are 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 209, 540, 189 using LCM Formula
Given numbers are 209, 540, 189
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(209, 540) = 112860
GCD(209, 540) = ( 209 x 540 ) / 112860
= 209 / 540
= 209
Step2:
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
= 1 / 189
= 1
So, Greatest Common Divisor of 209, 540, 189 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 209, 540, 189
Given numbers are 209, 540, 189
The greatest common divisor of numbers 209, 540, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 540, 189 is 1.
FAQs on GCD of 209, 540, 189 Calculator
1. What is the GCD of 209, 540, 189?
GCD of given numbers 209, 540, 189 is 1
2. How to calculate the greatest common divisor of 209, 540, 189?
We can find the highest common divisor of 209, 540, 189 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 209, 540, 189 i.e 1.
3. How can I use the GCD of 209, 540, 189Calculator?
Out the numbers 209, 540, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.