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, 974, 289 i.e. 1 largest integer that divides all the numbers equally.
GCD of 689, 974, 289 is 1
GCD(689, 974, 289) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 689, 974, 289 is 1
GCD(689, 974, 289) = 1
Given Input numbers are 689, 974, 289
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 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Greatest Common Divisior
We found the divisors of 689, 974, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 974, 289 is 1.
Therefore, GCD of numbers 689, 974, 289 is 1
Given Input Data is 689, 974, 289
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 689 is 13 x 53
Prime Factorization of 974 is 2 x 487
Prime Factorization of 289 is 17 x 17
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, 974) = 671086
GCD(689, 974) = ( 689 x 974 ) / 671086
GCD(689, 974) = 671086 / 671086
GCD(689, 974) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
GCD(1, 289) = 289 / 289
GCD(1, 289) = 1
GCD of 689, 974, 289 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 689, 974, 289?
GCD of 689, 974, 289 is 1
2. Where do I get the detailed procedure to find GCD of 689, 974, 289?
You can find a detailed procedure to find GCD of 689, 974, 289 on our page.
3. How to find GCD of 689, 974, 289 on a calculator?
You can find the GCD of 689, 974, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.