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, 137, 998, 685 i.e. 1 largest integer that divides all the numbers equally.
GCD of 689, 137, 998, 685 is 1
GCD(689, 137, 998, 685) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 689, 137, 998, 685 is 1
GCD(689, 137, 998, 685) = 1
Given Input numbers are 689, 137, 998, 685
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 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Greatest Common Divisior
We found the divisors of 689, 137, 998, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 137, 998, 685 is 1.
Therefore, GCD of numbers 689, 137, 998, 685 is 1
Given Input Data is 689, 137, 998, 685
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 689 is 13 x 53
Prime Factorization of 137 is 137
Prime Factorization of 998 is 2 x 499
Prime Factorization of 685 is 5 x 137
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, 137) = 94393
GCD(689, 137) = ( 689 x 137 ) / 94393
GCD(689, 137) = 94393 / 94393
GCD(689, 137) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 998
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
GCD(1, 998) = 998 / 998
GCD(1, 998) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 685
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 685) = 685
GCD(1, 685) = ( 1 x 685 ) / 685
GCD(1, 685) = 685 / 685
GCD(1, 685) = 1
GCD of 689, 137, 998, 685 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 689, 137, 998, 685?
GCD of 689, 137, 998, 685 is 1
2. Where do I get the detailed procedure to find GCD of 689, 137, 998, 685?
You can find a detailed procedure to find GCD of 689, 137, 998, 685 on our page.
3. How to find GCD of 689, 137, 998, 685 on a calculator?
You can find the GCD of 689, 137, 998, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.