GCD of 128, 216, 209 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 128, 216, 209 quickly. Get the easiest ways to solve the greatest common divisor of 128, 216, 209 i.e 1 in different methods as follows.
Given Input numbers are 128, 216, 209
In the factoring method, we have to find the divisors of all numbers
Divisors of 128 :
The positive integer divisors of 128 that completely divides 128 are.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
GCD of numbers is the greatest common divisor
So, the GCD (128, 216, 209) = 1.
Given numbers are 128, 216, 209
The list of prime factors of all numbers are
Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 209 are 11 x 19
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 128, 216, 209 using LCM Formula
Given numbers are 128, 216, 209
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(128, 216) = 3456
GCD(128, 216) = ( 128 x 216 ) / 3456
= 128 / 216
= 128
Step2:
LCM(8, 209) = 1672
GCD(8, 209) = ( 8 x 209 ) / 1672
= 8 / 209
= 8
So, Greatest Common Divisor of 128, 216, 209 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 128, 216, 209
Given numbers are 128, 216, 209
The greatest common divisor of numbers 128, 216, 209 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 128, 216, 209 is 1.
FAQs on GCD of 128, 216, 209 Calculator
1. What is the GCD of 128, 216, 209?
GCD of given numbers 128, 216, 209 is 1
2. How to calculate the greatest common divisor of 128, 216, 209?
We can find the highest common divisor of 128, 216, 209 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 128, 216, 209 i.e 1.
3. How can I use the GCD of 128, 216, 209Calculator?
Out the numbers 128, 216, 209 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.