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 521, 789, 19, 260 i.e. 1 largest integer that divides all the numbers equally.
GCD of 521, 789, 19, 260 is 1
GCD(521, 789, 19, 260) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 521, 789, 19, 260 is 1
GCD(521, 789, 19, 260) = 1
Given Input numbers are 521, 789, 19, 260
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Greatest Common Divisior
We found the divisors of 521, 789, 19, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 521, 789, 19, 260 is 1.
Therefore, GCD of numbers 521, 789, 19, 260 is 1
Given Input Data is 521, 789, 19, 260
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 521 is 521
Prime Factorization of 789 is 3 x 263
Prime Factorization of 19 is 19
Prime Factorization of 260 is 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(521, 789) = 411069
GCD(521, 789) = ( 521 x 789 ) / 411069
GCD(521, 789) = 411069 / 411069
GCD(521, 789) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 19) = 19
GCD(1, 19) = ( 1 x 19 ) / 19
GCD(1, 19) = 19 / 19
GCD(1, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 260
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 260) = 260
GCD(1, 260) = ( 1 x 260 ) / 260
GCD(1, 260) = 260 / 260
GCD(1, 260) = 1
GCD of 521, 789, 19, 260 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 521, 789, 19, 260?
GCD of 521, 789, 19, 260 is 1
2. Where do I get the detailed procedure to find GCD of 521, 789, 19, 260?
You can find a detailed procedure to find GCD of 521, 789, 19, 260 on our page.
3. How to find GCD of 521, 789, 19, 260 on a calculator?
You can find the GCD of 521, 789, 19, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.