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 682, 699, 710, 823 i.e. 1 largest integer that divides all the numbers equally.
GCD of 682, 699, 710, 823 is 1
GCD(682, 699, 710, 823) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 682, 699, 710, 823 is 1
GCD(682, 699, 710, 823) = 1
Given Input numbers are 682, 699, 710, 823
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Greatest Common Divisior
We found the divisors of 682, 699, 710, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 699, 710, 823 is 1.
Therefore, GCD of numbers 682, 699, 710, 823 is 1
Given Input Data is 682, 699, 710, 823
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 699 is 3 x 233
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 823 is 823
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(682, 699) = 476718
GCD(682, 699) = ( 682 x 699 ) / 476718
GCD(682, 699) = 476718 / 476718
GCD(682, 699) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 710
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 710) = 710
GCD(1, 710) = ( 1 x 710 ) / 710
GCD(1, 710) = 710 / 710
GCD(1, 710) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 823
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 823) = 823
GCD(1, 823) = ( 1 x 823 ) / 823
GCD(1, 823) = 823 / 823
GCD(1, 823) = 1
GCD of 682, 699, 710, 823 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 682, 699, 710, 823?
GCD of 682, 699, 710, 823 is 1
2. Where do I get the detailed procedure to find GCD of 682, 699, 710, 823?
You can find a detailed procedure to find GCD of 682, 699, 710, 823 on our page.
3. How to find GCD of 682, 699, 710, 823 on a calculator?
You can find the GCD of 682, 699, 710, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.