GCD of 319, 231, 400 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 319, 231, 400 i.e. 1 largest integer that divides all the numbers equally.
GCD of 319, 231, 400 is 1
GCD(319, 231, 400) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 319, 231, 400 is 1
GCD(319, 231, 400) = 1
GCDof 319,231,400 is 1
Given Input numbers are 319, 231, 400
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
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 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Greatest Common Divisior
We found the divisors of 319, 231, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 231, 400 is 1.
Therefore, GCD of numbers 319, 231, 400 is 1
Given Input Data is 319, 231, 400
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 319 is 11 x 29
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 319, 231, 400 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(319, 231) = 6699
GCD(319, 231) = ( 319 x 231 ) / 6699
GCD(319, 231) = 73689 / 6699
GCD(319, 231) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 400
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 400) = 4400
GCD(11, 400) = ( 11 x 400 ) / 4400
GCD(11, 400) = 4400 / 4400
GCD(11, 400) = 1
GCD of 319, 231, 400 is 1
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FAQs on GCD of numbers 319, 231, 400
1. What is the GCD of 319, 231, 400?
GCD of 319, 231, 400 is 1
2. Where do I get the detailed procedure to find GCD of 319, 231, 400?
You can find a detailed procedure to find GCD of 319, 231, 400 on our page.
3. How to find GCD of 319, 231, 400 on a calculator?
You can find the GCD of 319, 231, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.