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 980, 408, 683 i.e. 1 largest integer that divides all the numbers equally.
GCD of 980, 408, 683 is 1
GCD(980, 408, 683) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 980, 408, 683 is 1
GCD(980, 408, 683) = 1
Given Input numbers are 980, 408, 683
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Greatest Common Divisior
We found the divisors of 980, 408, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 408, 683 is 1.
Therefore, GCD of numbers 980, 408, 683 is 1
Given Input Data is 980, 408, 683
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
Prime Factorization of 683 is 683
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(980, 408) = 99960
GCD(980, 408) = ( 980 x 408 ) / 99960
GCD(980, 408) = 399840 / 99960
GCD(980, 408) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 683
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 683) = 2732
GCD(4, 683) = ( 4 x 683 ) / 2732
GCD(4, 683) = 2732 / 2732
GCD(4, 683) = 1
GCD of 980, 408, 683 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 980, 408, 683?
GCD of 980, 408, 683 is 1
2. Where do I get the detailed procedure to find GCD of 980, 408, 683?
You can find a detailed procedure to find GCD of 980, 408, 683 on our page.
3. How to find GCD of 980, 408, 683 on a calculator?
You can find the GCD of 980, 408, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.