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 367, 230, 509, 763 i.e. 1 largest integer that divides all the numbers equally.
GCD of 367, 230, 509, 763 is 1
GCD(367, 230, 509, 763) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 367, 230, 509, 763 is 1
GCD(367, 230, 509, 763) = 1
Given Input numbers are 367, 230, 509, 763
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Greatest Common Divisior
We found the divisors of 367, 230, 509, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 367, 230, 509, 763 is 1.
Therefore, GCD of numbers 367, 230, 509, 763 is 1
Given Input Data is 367, 230, 509, 763
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 367 is 367
Prime Factorization of 230 is 2 x 5 x 23
Prime Factorization of 509 is 509
Prime Factorization of 763 is 7 x 109
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(367, 230) = 84410
GCD(367, 230) = ( 367 x 230 ) / 84410
GCD(367, 230) = 84410 / 84410
GCD(367, 230) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 509
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 509) = 509
GCD(1, 509) = ( 1 x 509 ) / 509
GCD(1, 509) = 509 / 509
GCD(1, 509) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 763
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 763) = 763
GCD(1, 763) = ( 1 x 763 ) / 763
GCD(1, 763) = 763 / 763
GCD(1, 763) = 1
GCD of 367, 230, 509, 763 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 367, 230, 509, 763?
GCD of 367, 230, 509, 763 is 1
2. Where do I get the detailed procedure to find GCD of 367, 230, 509, 763?
You can find a detailed procedure to find GCD of 367, 230, 509, 763 on our page.
3. How to find GCD of 367, 230, 509, 763 on a calculator?
You can find the GCD of 367, 230, 509, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.