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 363, 231, 26, 769 i.e. 1 largest integer that divides all the numbers equally.
GCD of 363, 231, 26, 769 is 1
GCD(363, 231, 26, 769) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 363, 231, 26, 769 is 1
GCD(363, 231, 26, 769) = 1
Given Input numbers are 363, 231, 26, 769
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
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 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Greatest Common Divisior
We found the divisors of 363, 231, 26, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 231, 26, 769 is 1.
Therefore, GCD of numbers 363, 231, 26, 769 is 1
Given Input Data is 363, 231, 26, 769
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 26 is 2 x 13
Prime Factorization of 769 is 769
The above numbers do not have any common prime factor. So GCD is 1
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(363, 231) = 2541
GCD(363, 231) = ( 363 x 231 ) / 2541
GCD(363, 231) = 83853 / 2541
GCD(363, 231) = 33
Step2:
Here we consider the GCD from the above i.e. 33 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(33, 26) = 858
GCD(33, 26) = ( 33 x 26 ) / 858
GCD(33, 26) = 858 / 858
GCD(33, 26) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 769
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 769) = 769
GCD(1, 769) = ( 1 x 769 ) / 769
GCD(1, 769) = 769 / 769
GCD(1, 769) = 1
GCD of 363, 231, 26, 769 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 363, 231, 26, 769?
GCD of 363, 231, 26, 769 is 1
2. Where do I get the detailed procedure to find GCD of 363, 231, 26, 769?
You can find a detailed procedure to find GCD of 363, 231, 26, 769 on our page.
3. How to find GCD of 363, 231, 26, 769 on a calculator?
You can find the GCD of 363, 231, 26, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.