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 680, 873, 582, 954 i.e. 1 largest integer that divides all the numbers equally.
GCD of 680, 873, 582, 954 is 1
GCD(680, 873, 582, 954) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 680, 873, 582, 954 is 1
GCD(680, 873, 582, 954) = 1
Given Input numbers are 680, 873, 582, 954
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Greatest Common Divisior
We found the divisors of 680, 873, 582, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 873, 582, 954 is 1.
Therefore, GCD of numbers 680, 873, 582, 954 is 1
Given Input Data is 680, 873, 582, 954
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 582 is 2 x 3 x 97
Prime Factorization of 954 is 2 x 3 x 3 x 53
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(680, 873) = 593640
GCD(680, 873) = ( 680 x 873 ) / 593640
GCD(680, 873) = 593640 / 593640
GCD(680, 873) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 582
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 582) = 582
GCD(1, 582) = ( 1 x 582 ) / 582
GCD(1, 582) = 582 / 582
GCD(1, 582) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 954
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 954) = 954
GCD(1, 954) = ( 1 x 954 ) / 954
GCD(1, 954) = 954 / 954
GCD(1, 954) = 1
GCD of 680, 873, 582, 954 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 680, 873, 582, 954?
GCD of 680, 873, 582, 954 is 1
2. Where do I get the detailed procedure to find GCD of 680, 873, 582, 954?
You can find a detailed procedure to find GCD of 680, 873, 582, 954 on our page.
3. How to find GCD of 680, 873, 582, 954 on a calculator?
You can find the GCD of 680, 873, 582, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.