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 671, 938, 517, 509 i.e. 1 largest integer that divides all the numbers equally.
GCD of 671, 938, 517, 509 is 1
GCD(671, 938, 517, 509) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 671, 938, 517, 509 is 1
GCD(671, 938, 517, 509) = 1
Given Input numbers are 671, 938, 517, 509
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Greatest Common Divisior
We found the divisors of 671, 938, 517, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 671, 938, 517, 509 is 1.
Therefore, GCD of numbers 671, 938, 517, 509 is 1
Given Input Data is 671, 938, 517, 509
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 671 is 11 x 61
Prime Factorization of 938 is 2 x 7 x 67
Prime Factorization of 517 is 11 x 47
Prime Factorization of 509 is 509
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(671, 938) = 629398
GCD(671, 938) = ( 671 x 938 ) / 629398
GCD(671, 938) = 629398 / 629398
GCD(671, 938) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 509
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 509) = 509
GCD(1, 509) = ( 1 x 509 ) / 509
GCD(1, 509) = 509 / 509
GCD(1, 509) = 1
GCD of 671, 938, 517, 509 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 671, 938, 517, 509?
GCD of 671, 938, 517, 509 is 1
2. Where do I get the detailed procedure to find GCD of 671, 938, 517, 509?
You can find a detailed procedure to find GCD of 671, 938, 517, 509 on our page.
3. How to find GCD of 671, 938, 517, 509 on a calculator?
You can find the GCD of 671, 938, 517, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.