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 225, 725, 901, 625 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 725, 901, 625 is 1
GCD(225, 725, 901, 625) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 725, 901, 625 is 1
GCD(225, 725, 901, 625) = 1
Given Input numbers are 225, 725, 901, 625
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Greatest Common Divisior
We found the divisors of 225, 725, 901, 625 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 725, 901, 625 is 1.
Therefore, GCD of numbers 225, 725, 901, 625 is 1
Given Input Data is 225, 725, 901, 625
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 725 is 5 x 5 x 29
Prime Factorization of 901 is 17 x 53
Prime Factorization of 625 is 5 x 5 x 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(225, 725) = 6525
GCD(225, 725) = ( 225 x 725 ) / 6525
GCD(225, 725) = 163125 / 6525
GCD(225, 725) = 25
Step2:
Here we consider the GCD from the above i.e. 25 as first number and the next as 901
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(25, 901) = 22525
GCD(25, 901) = ( 25 x 901 ) / 22525
GCD(25, 901) = 22525 / 22525
GCD(25, 901) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 625
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 625) = 625
GCD(1, 625) = ( 1 x 625 ) / 625
GCD(1, 625) = 625 / 625
GCD(1, 625) = 1
GCD of 225, 725, 901, 625 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 225, 725, 901, 625?
GCD of 225, 725, 901, 625 is 1
2. Where do I get the detailed procedure to find GCD of 225, 725, 901, 625?
You can find a detailed procedure to find GCD of 225, 725, 901, 625 on our page.
3. How to find GCD of 225, 725, 901, 625 on a calculator?
You can find the GCD of 225, 725, 901, 625 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.