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 923, 317, 702, 510 i.e. 1 largest integer that divides all the numbers equally.
GCD of 923, 317, 702, 510 is 1
GCD(923, 317, 702, 510) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 923, 317, 702, 510 is 1
GCD(923, 317, 702, 510) = 1
Given Input numbers are 923, 317, 702, 510
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Greatest Common Divisior
We found the divisors of 923, 317, 702, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 923, 317, 702, 510 is 1.
Therefore, GCD of numbers 923, 317, 702, 510 is 1
Given Input Data is 923, 317, 702, 510
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 923 is 13 x 71
Prime Factorization of 317 is 317
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 510 is 2 x 3 x 5 x 17
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(923, 317) = 292591
GCD(923, 317) = ( 923 x 317 ) / 292591
GCD(923, 317) = 292591 / 292591
GCD(923, 317) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
GCD(1, 702) = 702 / 702
GCD(1, 702) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 510
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 510) = 510
GCD(1, 510) = ( 1 x 510 ) / 510
GCD(1, 510) = 510 / 510
GCD(1, 510) = 1
GCD of 923, 317, 702, 510 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 923, 317, 702, 510?
GCD of 923, 317, 702, 510 is 1
2. Where do I get the detailed procedure to find GCD of 923, 317, 702, 510?
You can find a detailed procedure to find GCD of 923, 317, 702, 510 on our page.
3. How to find GCD of 923, 317, 702, 510 on a calculator?
You can find the GCD of 923, 317, 702, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.