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, 253, 39, 520 i.e. 1 largest integer that divides all the numbers equally.
GCD of 825, 253, 39, 520 is 1
GCD(825, 253, 39, 520) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 825, 253, 39, 520 is 1
GCD(825, 253, 39, 520) = 1
Given Input numbers are 825, 253, 39, 520
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 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Greatest Common Divisior
We found the divisors of 825, 253, 39, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 253, 39, 520 is 1.
Therefore, GCD of numbers 825, 253, 39, 520 is 1
Given Input Data is 825, 253, 39, 520
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 253 is 11 x 23
Prime Factorization of 39 is 3 x 13
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
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, 253) = 18975
GCD(825, 253) = ( 825 x 253 ) / 18975
GCD(825, 253) = 208725 / 18975
GCD(825, 253) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 39) = 429
GCD(11, 39) = ( 11 x 39 ) / 429
GCD(11, 39) = 429 / 429
GCD(11, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 520) = 520
GCD(1, 520) = ( 1 x 520 ) / 520
GCD(1, 520) = 520 / 520
GCD(1, 520) = 1
GCD of 825, 253, 39, 520 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 825, 253, 39, 520?
GCD of 825, 253, 39, 520 is 1
2. Where do I get the detailed procedure to find GCD of 825, 253, 39, 520?
You can find a detailed procedure to find GCD of 825, 253, 39, 520 on our page.
3. How to find GCD of 825, 253, 39, 520 on a calculator?
You can find the GCD of 825, 253, 39, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.