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 45, 323, 652, 517 i.e. 1 largest integer that divides all the numbers equally.
GCD of 45, 323, 652, 517 is 1
GCD(45, 323, 652, 517) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 45, 323, 652, 517 is 1
GCD(45, 323, 652, 517) = 1
Given Input numbers are 45, 323, 652, 517
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Greatest Common Divisior
We found the divisors of 45, 323, 652, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 323, 652, 517 is 1.
Therefore, GCD of numbers 45, 323, 652, 517 is 1
Given Input Data is 45, 323, 652, 517
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 323 is 17 x 19
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 517 is 11 x 47
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(45, 323) = 14535
GCD(45, 323) = ( 45 x 323 ) / 14535
GCD(45, 323) = 14535 / 14535
GCD(45, 323) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 652
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 652) = 652
GCD(1, 652) = ( 1 x 652 ) / 652
GCD(1, 652) = 652 / 652
GCD(1, 652) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 517
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 517) = 517
GCD(1, 517) = ( 1 x 517 ) / 517
GCD(1, 517) = 517 / 517
GCD(1, 517) = 1
GCD of 45, 323, 652, 517 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 45, 323, 652, 517?
GCD of 45, 323, 652, 517 is 1
2. Where do I get the detailed procedure to find GCD of 45, 323, 652, 517?
You can find a detailed procedure to find GCD of 45, 323, 652, 517 on our page.
3. How to find GCD of 45, 323, 652, 517 on a calculator?
You can find the GCD of 45, 323, 652, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.