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, 428, 47, 511 i.e. 1 largest integer that divides all the numbers equally.
GCD of 521, 428, 47, 511 is 1
GCD(521, 428, 47, 511) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 521, 428, 47, 511 is 1
GCD(521, 428, 47, 511) = 1
Given Input numbers are 521, 428, 47, 511
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 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Greatest Common Divisior
We found the divisors of 521, 428, 47, 511 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 521, 428, 47, 511 is 1.
Therefore, GCD of numbers 521, 428, 47, 511 is 1
Given Input Data is 521, 428, 47, 511
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 521 is 521
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 47 is 47
Prime Factorization of 511 is 7 x 73
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, 428) = 222988
GCD(521, 428) = ( 521 x 428 ) / 222988
GCD(521, 428) = 222988 / 222988
GCD(521, 428) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
GCD(1, 47) = 47 / 47
GCD(1, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 511
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 511) = 511
GCD(1, 511) = ( 1 x 511 ) / 511
GCD(1, 511) = 511 / 511
GCD(1, 511) = 1
GCD of 521, 428, 47, 511 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 521, 428, 47, 511?
GCD of 521, 428, 47, 511 is 1
2. Where do I get the detailed procedure to find GCD of 521, 428, 47, 511?
You can find a detailed procedure to find GCD of 521, 428, 47, 511 on our page.
3. How to find GCD of 521, 428, 47, 511 on a calculator?
You can find the GCD of 521, 428, 47, 511 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.