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, 689, 444, 636 i.e. 1 largest integer that divides all the numbers equally.
GCD of 25, 689, 444, 636 is 1
GCD(25, 689, 444, 636) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 25, 689, 444, 636 is 1
GCD(25, 689, 444, 636) = 1
Given Input numbers are 25, 689, 444, 636
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 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Greatest Common Divisior
We found the divisors of 25, 689, 444, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 689, 444, 636 is 1.
Therefore, GCD of numbers 25, 689, 444, 636 is 1
Given Input Data is 25, 689, 444, 636
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 25 is 5 x 5
Prime Factorization of 689 is 13 x 53
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 636 is 2 x 2 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(25, 689) = 17225
GCD(25, 689) = ( 25 x 689 ) / 17225
GCD(25, 689) = 17225 / 17225
GCD(25, 689) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 444
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 444) = 444
GCD(1, 444) = ( 1 x 444 ) / 444
GCD(1, 444) = 444 / 444
GCD(1, 444) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 636
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 636) = 636
GCD(1, 636) = ( 1 x 636 ) / 636
GCD(1, 636) = 636 / 636
GCD(1, 636) = 1
GCD of 25, 689, 444, 636 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 25, 689, 444, 636?
GCD of 25, 689, 444, 636 is 1
2. Where do I get the detailed procedure to find GCD of 25, 689, 444, 636?
You can find a detailed procedure to find GCD of 25, 689, 444, 636 on our page.
3. How to find GCD of 25, 689, 444, 636 on a calculator?
You can find the GCD of 25, 689, 444, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.