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 25, 580, 961, 728 i.e. 1 largest integer that divides all the numbers equally.
GCD of 25, 580, 961, 728 is 1
GCD(25, 580, 961, 728) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 25, 580, 961, 728 is 1
GCD(25, 580, 961, 728) = 1
Given Input numbers are 25, 580, 961, 728
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Greatest Common Divisior
We found the divisors of 25, 580, 961, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 580, 961, 728 is 1.
Therefore, GCD of numbers 25, 580, 961, 728 is 1
Given Input Data is 25, 580, 961, 728
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 25 is 5 x 5
Prime Factorization of 580 is 2 x 2 x 5 x 29
Prime Factorization of 961 is 31 x 31
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
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(25, 580) = 2900
GCD(25, 580) = ( 25 x 580 ) / 2900
GCD(25, 580) = 14500 / 2900
GCD(25, 580) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 961
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 961) = 4805
GCD(5, 961) = ( 5 x 961 ) / 4805
GCD(5, 961) = 4805 / 4805
GCD(5, 961) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 728
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
GCD(1, 728) = 728 / 728
GCD(1, 728) = 1
GCD of 25, 580, 961, 728 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 25, 580, 961, 728?
GCD of 25, 580, 961, 728 is 1
2. Where do I get the detailed procedure to find GCD of 25, 580, 961, 728?
You can find a detailed procedure to find GCD of 25, 580, 961, 728 on our page.
3. How to find GCD of 25, 580, 961, 728 on a calculator?
You can find the GCD of 25, 580, 961, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.