GCD of 369, 105, 131 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 369, 105, 131 i.e. 1 largest integer that divides all the numbers equally.
GCD of 369, 105, 131 is 1
GCD(369, 105, 131) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 369, 105, 131 is 1
GCD(369, 105, 131) = 1
GCDof 369,105,131 is 1
Given Input numbers are 369, 105, 131
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Greatest Common Divisior
We found the divisors of 369, 105, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 105, 131 is 1.
Therefore, GCD of numbers 369, 105, 131 is 1
Given Input Data is 369, 105, 131
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 131 is 131
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 369, 105, 131 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(369, 105) = 12915
GCD(369, 105) = ( 369 x 105 ) / 12915
GCD(369, 105) = 38745 / 12915
GCD(369, 105) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 131
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 131) = 393
GCD(3, 131) = ( 3 x 131 ) / 393
GCD(3, 131) = 393 / 393
GCD(3, 131) = 1
GCD of 369, 105, 131 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 369, 105, 131
1. What is the GCD of 369, 105, 131?
GCD of 369, 105, 131 is 1
2. Where do I get the detailed procedure to find GCD of 369, 105, 131?
You can find a detailed procedure to find GCD of 369, 105, 131 on our page.
3. How to find GCD of 369, 105, 131 on a calculator?
You can find the GCD of 369, 105, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.