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 269, 220, 825, 725 i.e. 1 largest integer that divides all the numbers equally.
GCD of 269, 220, 825, 725 is 1
GCD(269, 220, 825, 725) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 269, 220, 825, 725 is 1
GCD(269, 220, 825, 725) = 1
Given Input numbers are 269, 220, 825, 725
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Greatest Common Divisior
We found the divisors of 269, 220, 825, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 220, 825, 725 is 1.
Therefore, GCD of numbers 269, 220, 825, 725 is 1
Given Input Data is 269, 220, 825, 725
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 269 is 269
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 725 is 5 x 5 x 29
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(269, 220) = 59180
GCD(269, 220) = ( 269 x 220 ) / 59180
GCD(269, 220) = 59180 / 59180
GCD(269, 220) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 825
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
GCD(1, 825) = 825 / 825
GCD(1, 825) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 725
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 725) = 725
GCD(1, 725) = ( 1 x 725 ) / 725
GCD(1, 725) = 725 / 725
GCD(1, 725) = 1
GCD of 269, 220, 825, 725 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 269, 220, 825, 725?
GCD of 269, 220, 825, 725 is 1
2. Where do I get the detailed procedure to find GCD of 269, 220, 825, 725?
You can find a detailed procedure to find GCD of 269, 220, 825, 725 on our page.
3. How to find GCD of 269, 220, 825, 725 on a calculator?
You can find the GCD of 269, 220, 825, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.