GCD of 500, 378, 409 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 500, 378, 409 i.e. 1 largest integer that divides all the numbers equally.
GCD of 500, 378, 409 is 1
GCD(500, 378, 409) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 500, 378, 409 is 1
GCD(500, 378, 409) = 1
GCDof 500,378,409 is 1
Given Input numbers are 500, 378, 409
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 409
List of positive integer divisors of 409 that divides 409 without a remainder.
1, 409
Greatest Common Divisior
We found the divisors of 500, 378, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 378, 409 is 1.
Therefore, GCD of numbers 500, 378, 409 is 1
Given Input Data is 500, 378, 409
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 409 is 409
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 500, 378, 409 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(500, 378) = 94500
GCD(500, 378) = ( 500 x 378 ) / 94500
GCD(500, 378) = 189000 / 94500
GCD(500, 378) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 409
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 409) = 818
GCD(2, 409) = ( 2 x 409 ) / 818
GCD(2, 409) = 818 / 818
GCD(2, 409) = 1
GCD of 500, 378, 409 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 500, 378, 409
1. What is the GCD of 500, 378, 409?
GCD of 500, 378, 409 is 1
2. Where do I get the detailed procedure to find GCD of 500, 378, 409?
You can find a detailed procedure to find GCD of 500, 378, 409 on our page.
3. How to find GCD of 500, 378, 409 on a calculator?
You can find the GCD of 500, 378, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.