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 686, 791, 249, 517 i.e. 1 largest integer that divides all the numbers equally.
GCD of 686, 791, 249, 517 is 1
GCD(686, 791, 249, 517) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 686, 791, 249, 517 is 1
GCD(686, 791, 249, 517) = 1
Given Input numbers are 686, 791, 249, 517
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
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 686, 791, 249, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 791, 249, 517 is 1.
Therefore, GCD of numbers 686, 791, 249, 517 is 1
Given Input Data is 686, 791, 249, 517
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 686 is 2 x 7 x 7 x 7
Prime Factorization of 791 is 7 x 113
Prime Factorization of 249 is 3 x 83
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(686, 791) = 77518
GCD(686, 791) = ( 686 x 791 ) / 77518
GCD(686, 791) = 542626 / 77518
GCD(686, 791) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 249
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 249) = 1743
GCD(7, 249) = ( 7 x 249 ) / 1743
GCD(7, 249) = 1743 / 1743
GCD(7, 249) = 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 686, 791, 249, 517 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 686, 791, 249, 517?
GCD of 686, 791, 249, 517 is 1
2. Where do I get the detailed procedure to find GCD of 686, 791, 249, 517?
You can find a detailed procedure to find GCD of 686, 791, 249, 517 on our page.
3. How to find GCD of 686, 791, 249, 517 on a calculator?
You can find the GCD of 686, 791, 249, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.