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, 509, 576, 689 i.e. 1 largest integer that divides all the numbers equally.
GCD of 686, 509, 576, 689 is 1
GCD(686, 509, 576, 689) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 686, 509, 576, 689 is 1
GCD(686, 509, 576, 689) = 1
Given Input numbers are 686, 509, 576, 689
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 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Greatest Common Divisior
We found the divisors of 686, 509, 576, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 509, 576, 689 is 1.
Therefore, GCD of numbers 686, 509, 576, 689 is 1
Given Input Data is 686, 509, 576, 689
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 509 is 509
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 689 is 13 x 53
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, 509) = 349174
GCD(686, 509) = ( 686 x 509 ) / 349174
GCD(686, 509) = 349174 / 349174
GCD(686, 509) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 576
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 576) = 576
GCD(1, 576) = ( 1 x 576 ) / 576
GCD(1, 576) = 576 / 576
GCD(1, 576) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 689
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
GCD(1, 689) = 689 / 689
GCD(1, 689) = 1
GCD of 686, 509, 576, 689 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 686, 509, 576, 689?
GCD of 686, 509, 576, 689 is 1
2. Where do I get the detailed procedure to find GCD of 686, 509, 576, 689?
You can find a detailed procedure to find GCD of 686, 509, 576, 689 on our page.
3. How to find GCD of 686, 509, 576, 689 on a calculator?
You can find the GCD of 686, 509, 576, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.