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 559, 667, 25 i.e. 1 largest integer that divides all the numbers equally.
GCD of 559, 667, 25 is 1
GCD(559, 667, 25) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 559, 667, 25 is 1
GCD(559, 667, 25) = 1
Given Input numbers are 559, 667, 25
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 559
List of positive integer divisors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
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 559, 667, 25 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 667, 25 is 1.
Therefore, GCD of numbers 559, 667, 25 is 1
Given Input Data is 559, 667, 25
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 559 is 13 x 43
Prime Factorization of 667 is 23 x 29
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(559, 667) = 372853
GCD(559, 667) = ( 559 x 667 ) / 372853
GCD(559, 667) = 372853 / 372853
GCD(559, 667) = 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 559, 667, 25 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 559, 667, 25?
GCD of 559, 667, 25 is 1
2. Where do I get the detailed procedure to find GCD of 559, 667, 25?
You can find a detailed procedure to find GCD of 559, 667, 25 on our page.
3. How to find GCD of 559, 667, 25 on a calculator?
You can find the GCD of 559, 667, 25 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.