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 289, 991, 25, 113 i.e. 1 largest integer that divides all the numbers equally.
GCD of 289, 991, 25, 113 is 1
GCD(289, 991, 25, 113) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 289, 991, 25, 113 is 1
GCD(289, 991, 25, 113) = 1
Given Input numbers are 289, 991, 25, 113
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Greatest Common Divisior
We found the divisors of 289, 991, 25, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 991, 25, 113 is 1.
Therefore, GCD of numbers 289, 991, 25, 113 is 1
Given Input Data is 289, 991, 25, 113
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 289 is 17 x 17
Prime Factorization of 991 is 991
Prime Factorization of 25 is 5 x 5
Prime Factorization of 113 is 113
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(289, 991) = 286399
GCD(289, 991) = ( 289 x 991 ) / 286399
GCD(289, 991) = 286399 / 286399
GCD(289, 991) = 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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 113
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 113) = 113
GCD(1, 113) = ( 1 x 113 ) / 113
GCD(1, 113) = 113 / 113
GCD(1, 113) = 1
GCD of 289, 991, 25, 113 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 289, 991, 25, 113?
GCD of 289, 991, 25, 113 is 1
2. Where do I get the detailed procedure to find GCD of 289, 991, 25, 113?
You can find a detailed procedure to find GCD of 289, 991, 25, 113 on our page.
3. How to find GCD of 289, 991, 25, 113 on a calculator?
You can find the GCD of 289, 991, 25, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.