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 683, 978, 25 i.e. 1 largest integer that divides all the numbers equally.
GCD of 683, 978, 25 is 1
GCD(683, 978, 25) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 683, 978, 25 is 1
GCD(683, 978, 25) = 1
Given Input numbers are 683, 978, 25
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Divisors of 978
List of positive integer divisors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Greatest Common Divisior
We found the divisors of 683, 978, 25 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 683, 978, 25 is 1.
Therefore, GCD of numbers 683, 978, 25 is 1
Given Input Data is 683, 978, 25
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 683 is 683
Prime Factorization of 978 is 2 x 3 x 163
Prime Factorization of 25 is 5 x 5
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(683, 978) = 667974
GCD(683, 978) = ( 683 x 978 ) / 667974
GCD(683, 978) = 667974 / 667974
GCD(683, 978) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 25) = 25
GCD(1, 25) = ( 1 x 25 ) / 25
GCD(1, 25) = 25 / 25
GCD(1, 25) = 1
GCD of 683, 978, 25 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 683, 978, 25?
GCD of 683, 978, 25 is 1
2. Where do I get the detailed procedure to find GCD of 683, 978, 25?
You can find a detailed procedure to find GCD of 683, 978, 25 on our page.
3. How to find GCD of 683, 978, 25 on a calculator?
You can find the GCD of 683, 978, 25 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.