GCD of 390, 988, 405 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 390, 988, 405 i.e. 1 largest integer that divides all the numbers equally.
GCD of 390, 988, 405 is 1
GCD(390, 988, 405) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 390, 988, 405 is 1
GCD(390, 988, 405) = 1
GCDof 390,988,405 is 1
Given Input numbers are 390, 988, 405
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Greatest Common Divisior
We found the divisors of 390, 988, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 988, 405 is 1.
Therefore, GCD of numbers 390, 988, 405 is 1
Given Input Data is 390, 988, 405
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 390, 988, 405 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(390, 988) = 14820
GCD(390, 988) = ( 390 x 988 ) / 14820
GCD(390, 988) = 385320 / 14820
GCD(390, 988) = 26
Step2:
Here we consider the GCD from the above i.e. 26 as first number and the next as 405
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(26, 405) = 10530
GCD(26, 405) = ( 26 x 405 ) / 10530
GCD(26, 405) = 10530 / 10530
GCD(26, 405) = 1
GCD of 390, 988, 405 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 390, 988, 405
1. What is the GCD of 390, 988, 405?
GCD of 390, 988, 405 is 1
2. Where do I get the detailed procedure to find GCD of 390, 988, 405?
You can find a detailed procedure to find GCD of 390, 988, 405 on our page.
3. How to find GCD of 390, 988, 405 on a calculator?
You can find the GCD of 390, 988, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.