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 517, 645, 36, 797 i.e. 1 largest integer that divides all the numbers equally.
GCD of 517, 645, 36, 797 is 1
GCD(517, 645, 36, 797) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 517, 645, 36, 797 is 1
GCD(517, 645, 36, 797) = 1
Given Input numbers are 517, 645, 36, 797
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Greatest Common Divisior
We found the divisors of 517, 645, 36, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 645, 36, 797 is 1.
Therefore, GCD of numbers 517, 645, 36, 797 is 1
Given Input Data is 517, 645, 36, 797
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 517 is 11 x 47
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 797 is 797
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(517, 645) = 333465
GCD(517, 645) = ( 517 x 645 ) / 333465
GCD(517, 645) = 333465 / 333465
GCD(517, 645) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 797
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 797) = 797
GCD(1, 797) = ( 1 x 797 ) / 797
GCD(1, 797) = 797 / 797
GCD(1, 797) = 1
GCD of 517, 645, 36, 797 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 517, 645, 36, 797?
GCD of 517, 645, 36, 797 is 1
2. Where do I get the detailed procedure to find GCD of 517, 645, 36, 797?
You can find a detailed procedure to find GCD of 517, 645, 36, 797 on our page.
3. How to find GCD of 517, 645, 36, 797 on a calculator?
You can find the GCD of 517, 645, 36, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.