GCD of 387, 996, 809 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 387, 996, 809 i.e. 1 largest integer that divides all the numbers equally.
GCD of 387, 996, 809 is 1
GCD(387, 996, 809) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 387, 996, 809 is 1
GCD(387, 996, 809) = 1
GCDof 387,996,809 is 1
Given Input numbers are 387, 996, 809
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Greatest Common Divisior
We found the divisors of 387, 996, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 996, 809 is 1.
Therefore, GCD of numbers 387, 996, 809 is 1
Given Input Data is 387, 996, 809
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 809 is 809
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 387, 996, 809 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(387, 996) = 128484
GCD(387, 996) = ( 387 x 996 ) / 128484
GCD(387, 996) = 385452 / 128484
GCD(387, 996) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 809
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 809) = 2427
GCD(3, 809) = ( 3 x 809 ) / 2427
GCD(3, 809) = 2427 / 2427
GCD(3, 809) = 1
GCD of 387, 996, 809 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 387, 996, 809
1. What is the GCD of 387, 996, 809?
GCD of 387, 996, 809 is 1
2. Where do I get the detailed procedure to find GCD of 387, 996, 809?
You can find a detailed procedure to find GCD of 387, 996, 809 on our page.
3. How to find GCD of 387, 996, 809 on a calculator?
You can find the GCD of 387, 996, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
