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 689, 830, 868, 347 i.e. 1 largest integer that divides all the numbers equally.
GCD of 689, 830, 868, 347 is 1
GCD(689, 830, 868, 347) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 689, 830, 868, 347 is 1
GCD(689, 830, 868, 347) = 1
Given Input numbers are 689, 830, 868, 347
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 830
List of positive integer divisors of 830 that divides 830 without a remainder.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Greatest Common Divisior
We found the divisors of 689, 830, 868, 347 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 830, 868, 347 is 1.
Therefore, GCD of numbers 689, 830, 868, 347 is 1
Given Input Data is 689, 830, 868, 347
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 689 is 13 x 53
Prime Factorization of 830 is 2 x 5 x 83
Prime Factorization of 868 is 2 x 2 x 7 x 31
Prime Factorization of 347 is 347
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(689, 830) = 571870
GCD(689, 830) = ( 689 x 830 ) / 571870
GCD(689, 830) = 571870 / 571870
GCD(689, 830) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 868
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 868) = 868
GCD(1, 868) = ( 1 x 868 ) / 868
GCD(1, 868) = 868 / 868
GCD(1, 868) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 347
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 347) = 347
GCD(1, 347) = ( 1 x 347 ) / 347
GCD(1, 347) = 347 / 347
GCD(1, 347) = 1
GCD of 689, 830, 868, 347 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 689, 830, 868, 347?
GCD of 689, 830, 868, 347 is 1
2. Where do I get the detailed procedure to find GCD of 689, 830, 868, 347?
You can find a detailed procedure to find GCD of 689, 830, 868, 347 on our page.
3. How to find GCD of 689, 830, 868, 347 on a calculator?
You can find the GCD of 689, 830, 868, 347 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.