GCD of 189, 783, 204 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, 783, 204 i.e. 3 largest integer that divides all the numbers equally.
GCD of 189, 783, 204 is 3
GCD(189, 783, 204) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 189, 783, 204 is 3
GCD(189, 783, 204) = 3
GCDof 189,783,204 is 3
Given Input numbers are 189, 783, 204
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 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Greatest Common Divisior
We found the divisors of 189, 783, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 783, 204 is 3.
Therefore, GCD of numbers 189, 783, 204 is 3
Given Input Data is 189, 783, 204
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 783 is 3 x 3 x 3 x 29
Prime Factorization of 204 is 2 x 2 x 3 x 17
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 189, 783, 204 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, 783) = 5481
GCD(189, 783) = ( 189 x 783 ) / 5481
GCD(189, 783) = 147987 / 5481
GCD(189, 783) = 27
Step2:
Here we consider the GCD from the above i.e. 27 as first number and the next as 204
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(27, 204) = 1836
GCD(27, 204) = ( 27 x 204 ) / 1836
GCD(27, 204) = 5508 / 1836
GCD(27, 204) = 3
GCD of 189, 783, 204 is 3
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FAQs on GCD of numbers 189, 783, 204
1. What is the GCD of 189, 783, 204?
GCD of 189, 783, 204 is 3
2. Where do I get the detailed procedure to find GCD of 189, 783, 204?
You can find a detailed procedure to find GCD of 189, 783, 204 on our page.
3. How to find GCD of 189, 783, 204 on a calculator?
You can find the GCD of 189, 783, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.