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, 730, 732, 438 i.e. 1 largest integer that divides all the numbers equally.
GCD of 517, 730, 732, 438 is 1
GCD(517, 730, 732, 438) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 517, 730, 732, 438 is 1
GCD(517, 730, 732, 438) = 1
Given Input numbers are 517, 730, 732, 438
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 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Greatest Common Divisior
We found the divisors of 517, 730, 732, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 730, 732, 438 is 1.
Therefore, GCD of numbers 517, 730, 732, 438 is 1
Given Input Data is 517, 730, 732, 438
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 517 is 11 x 47
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 438 is 2 x 3 x 73
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, 730) = 377410
GCD(517, 730) = ( 517 x 730 ) / 377410
GCD(517, 730) = 377410 / 377410
GCD(517, 730) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 732
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 732) = 732
GCD(1, 732) = ( 1 x 732 ) / 732
GCD(1, 732) = 732 / 732
GCD(1, 732) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 438
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 438) = 438
GCD(1, 438) = ( 1 x 438 ) / 438
GCD(1, 438) = 438 / 438
GCD(1, 438) = 1
GCD of 517, 730, 732, 438 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 517, 730, 732, 438?
GCD of 517, 730, 732, 438 is 1
2. Where do I get the detailed procedure to find GCD of 517, 730, 732, 438?
You can find a detailed procedure to find GCD of 517, 730, 732, 438 on our page.
3. How to find GCD of 517, 730, 732, 438 on a calculator?
You can find the GCD of 517, 730, 732, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.