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 813, 617, 45, 269 i.e. 1 largest integer that divides all the numbers equally.
GCD of 813, 617, 45, 269 is 1
GCD(813, 617, 45, 269) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 813, 617, 45, 269 is 1
GCD(813, 617, 45, 269) = 1
Given Input numbers are 813, 617, 45, 269
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Greatest Common Divisior
We found the divisors of 813, 617, 45, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 617, 45, 269 is 1.
Therefore, GCD of numbers 813, 617, 45, 269 is 1
Given Input Data is 813, 617, 45, 269
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 813 is 3 x 271
Prime Factorization of 617 is 617
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 269 is 269
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(813, 617) = 501621
GCD(813, 617) = ( 813 x 617 ) / 501621
GCD(813, 617) = 501621 / 501621
GCD(813, 617) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 269
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 269) = 269
GCD(1, 269) = ( 1 x 269 ) / 269
GCD(1, 269) = 269 / 269
GCD(1, 269) = 1
GCD of 813, 617, 45, 269 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 813, 617, 45, 269?
GCD of 813, 617, 45, 269 is 1
2. Where do I get the detailed procedure to find GCD of 813, 617, 45, 269?
You can find a detailed procedure to find GCD of 813, 617, 45, 269 on our page.
3. How to find GCD of 813, 617, 45, 269 on a calculator?
You can find the GCD of 813, 617, 45, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.