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 858, 518, 689, 353 i.e. 1 largest integer that divides all the numbers equally.
GCD of 858, 518, 689, 353 is 1
GCD(858, 518, 689, 353) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 858, 518, 689, 353 is 1
GCD(858, 518, 689, 353) = 1
Given Input numbers are 858, 518, 689, 353
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Greatest Common Divisior
We found the divisors of 858, 518, 689, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 858, 518, 689, 353 is 1.
Therefore, GCD of numbers 858, 518, 689, 353 is 1
Given Input Data is 858, 518, 689, 353
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 858 is 2 x 3 x 11 x 13
Prime Factorization of 518 is 2 x 7 x 37
Prime Factorization of 689 is 13 x 53
Prime Factorization of 353 is 353
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(858, 518) = 222222
GCD(858, 518) = ( 858 x 518 ) / 222222
GCD(858, 518) = 444444 / 222222
GCD(858, 518) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 689
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 689) = 1378
GCD(2, 689) = ( 2 x 689 ) / 1378
GCD(2, 689) = 1378 / 1378
GCD(2, 689) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 353
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 353) = 353
GCD(1, 353) = ( 1 x 353 ) / 353
GCD(1, 353) = 353 / 353
GCD(1, 353) = 1
GCD of 858, 518, 689, 353 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 858, 518, 689, 353?
GCD of 858, 518, 689, 353 is 1
2. Where do I get the detailed procedure to find GCD of 858, 518, 689, 353?
You can find a detailed procedure to find GCD of 858, 518, 689, 353 on our page.
3. How to find GCD of 858, 518, 689, 353 on a calculator?
You can find the GCD of 858, 518, 689, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.