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 994, 806, 737, 518 i.e. 1 largest integer that divides all the numbers equally.
GCD of 994, 806, 737, 518 is 1
GCD(994, 806, 737, 518) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 994, 806, 737, 518 is 1
GCD(994, 806, 737, 518) = 1
Given Input numbers are 994, 806, 737, 518
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 806
List of positive integer divisors of 806 that divides 806 without a remainder.
1, 2, 13, 26, 31, 62, 403, 806
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Greatest Common Divisior
We found the divisors of 994, 806, 737, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 806, 737, 518 is 1.
Therefore, GCD of numbers 994, 806, 737, 518 is 1
Given Input Data is 994, 806, 737, 518
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 994 is 2 x 7 x 71
Prime Factorization of 806 is 2 x 13 x 31
Prime Factorization of 737 is 11 x 67
Prime Factorization of 518 is 2 x 7 x 37
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(994, 806) = 400582
GCD(994, 806) = ( 994 x 806 ) / 400582
GCD(994, 806) = 801164 / 400582
GCD(994, 806) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 737) = 1474
GCD(2, 737) = ( 2 x 737 ) / 1474
GCD(2, 737) = 1474 / 1474
GCD(2, 737) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 518
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 518) = 518
GCD(1, 518) = ( 1 x 518 ) / 518
GCD(1, 518) = 518 / 518
GCD(1, 518) = 1
GCD of 994, 806, 737, 518 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 994, 806, 737, 518?
GCD of 994, 806, 737, 518 is 1
2. Where do I get the detailed procedure to find GCD of 994, 806, 737, 518?
You can find a detailed procedure to find GCD of 994, 806, 737, 518 on our page.
3. How to find GCD of 994, 806, 737, 518 on a calculator?
You can find the GCD of 994, 806, 737, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.