GCD of 852, 492, 189 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 852, 492, 189 i.e. 3 largest integer that divides all the numbers equally.
GCD of 852, 492, 189 is 3
GCD(852, 492, 189) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 852, 492, 189 is 3
GCD(852, 492, 189) = 3
GCDof 852,492,189 is 3
Given Input numbers are 852, 492, 189
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Greatest Common Divisior
We found the divisors of 852, 492, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 492, 189 is 3.
Therefore, GCD of numbers 852, 492, 189 is 3
Given Input Data is 852, 492, 189
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 492 is 2 x 2 x 3 x 41
Prime Factorization of 189 is 3 x 3 x 3 x 7
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 852, 492, 189 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(852, 492) = 34932
GCD(852, 492) = ( 852 x 492 ) / 34932
GCD(852, 492) = 419184 / 34932
GCD(852, 492) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 189
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 189) = 756
GCD(12, 189) = ( 12 x 189 ) / 756
GCD(12, 189) = 2268 / 756
GCD(12, 189) = 3
GCD of 852, 492, 189 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 852, 492, 189
1. What is the GCD of 852, 492, 189?
GCD of 852, 492, 189 is 3
2. Where do I get the detailed procedure to find GCD of 852, 492, 189?
You can find a detailed procedure to find GCD of 852, 492, 189 on our page.
3. How to find GCD of 852, 492, 189 on a calculator?
You can find the GCD of 852, 492, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.