GCD of 189, 144, 283 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 189, 144, 283 i.e. 1 largest integer that divides all the numbers equally.
GCD of 189, 144, 283 is 1
GCD(189, 144, 283) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 189, 144, 283 is 1
GCD(189, 144, 283) = 1
GCDof 189,144,283 is 1
Given Input numbers are 189, 144, 283
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Greatest Common Divisior
We found the divisors of 189, 144, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 144, 283 is 1.
Therefore, GCD of numbers 189, 144, 283 is 1
Given Input Data is 189, 144, 283
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 283 is 283
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 189, 144, 283 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(189, 144) = 3024
GCD(189, 144) = ( 189 x 144 ) / 3024
GCD(189, 144) = 27216 / 3024
GCD(189, 144) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 283
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 283) = 2547
GCD(9, 283) = ( 9 x 283 ) / 2547
GCD(9, 283) = 2547 / 2547
GCD(9, 283) = 1
GCD of 189, 144, 283 is 1
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FAQs on GCD of numbers 189, 144, 283
1. What is the GCD of 189, 144, 283?
GCD of 189, 144, 283 is 1
2. Where do I get the detailed procedure to find GCD of 189, 144, 283?
You can find a detailed procedure to find GCD of 189, 144, 283 on our page.
3. How to find GCD of 189, 144, 283 on a calculator?
You can find the GCD of 189, 144, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.