GCD of 220, 231, 398 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 220, 231, 398 i.e. 1 largest integer that divides all the numbers equally.
GCD of 220, 231, 398 is 1
GCD(220, 231, 398) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 220, 231, 398 is 1
GCD(220, 231, 398) = 1
GCDof 220,231,398 is 1
Given Input numbers are 220, 231, 398
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Greatest Common Divisior
We found the divisors of 220, 231, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 231, 398 is 1.
Therefore, GCD of numbers 220, 231, 398 is 1
Given Input Data is 220, 231, 398
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 398 is 2 x 199
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 220, 231, 398 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(220, 231) = 4620
GCD(220, 231) = ( 220 x 231 ) / 4620
GCD(220, 231) = 50820 / 4620
GCD(220, 231) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 398
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 398) = 4378
GCD(11, 398) = ( 11 x 398 ) / 4378
GCD(11, 398) = 4378 / 4378
GCD(11, 398) = 1
GCD of 220, 231, 398 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 220, 231, 398
1. What is the GCD of 220, 231, 398?
GCD of 220, 231, 398 is 1
2. Where do I get the detailed procedure to find GCD of 220, 231, 398?
You can find a detailed procedure to find GCD of 220, 231, 398 on our page.
3. How to find GCD of 220, 231, 398 on a calculator?
You can find the GCD of 220, 231, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.