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 825, 638, 254, 613 i.e. 1 largest integer that divides all the numbers equally.
GCD of 825, 638, 254, 613 is 1
GCD(825, 638, 254, 613) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 825, 638, 254, 613 is 1
GCD(825, 638, 254, 613) = 1
Given Input numbers are 825, 638, 254, 613
To find the GCD of numbers using factoring list out all the divisors of each number
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 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Greatest Common Divisior
We found the divisors of 825, 638, 254, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 638, 254, 613 is 1.
Therefore, GCD of numbers 825, 638, 254, 613 is 1
Given Input Data is 825, 638, 254, 613
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 638 is 2 x 11 x 29
Prime Factorization of 254 is 2 x 127
Prime Factorization of 613 is 613
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(825, 638) = 47850
GCD(825, 638) = ( 825 x 638 ) / 47850
GCD(825, 638) = 526350 / 47850
GCD(825, 638) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 254
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 254) = 2794
GCD(11, 254) = ( 11 x 254 ) / 2794
GCD(11, 254) = 2794 / 2794
GCD(11, 254) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 613
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 613) = 613
GCD(1, 613) = ( 1 x 613 ) / 613
GCD(1, 613) = 613 / 613
GCD(1, 613) = 1
GCD of 825, 638, 254, 613 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 825, 638, 254, 613?
GCD of 825, 638, 254, 613 is 1
2. Where do I get the detailed procedure to find GCD of 825, 638, 254, 613?
You can find a detailed procedure to find GCD of 825, 638, 254, 613 on our page.
3. How to find GCD of 825, 638, 254, 613 on a calculator?
You can find the GCD of 825, 638, 254, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.