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 520, 819, 551, 574 i.e. 1 largest integer that divides all the numbers equally.
GCD of 520, 819, 551, 574 is 1
GCD(520, 819, 551, 574) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 520, 819, 551, 574 is 1
GCD(520, 819, 551, 574) = 1
Given Input numbers are 520, 819, 551, 574
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 819
List of positive integer divisors of 819 that divides 819 without a remainder.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Divisors of 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Greatest Common Divisior
We found the divisors of 520, 819, 551, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 819, 551, 574 is 1.
Therefore, GCD of numbers 520, 819, 551, 574 is 1
Given Input Data is 520, 819, 551, 574
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 819 is 3 x 3 x 7 x 13
Prime Factorization of 551 is 19 x 29
Prime Factorization of 574 is 2 x 7 x 41
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(520, 819) = 32760
GCD(520, 819) = ( 520 x 819 ) / 32760
GCD(520, 819) = 425880 / 32760
GCD(520, 819) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 551
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 551) = 7163
GCD(13, 551) = ( 13 x 551 ) / 7163
GCD(13, 551) = 7163 / 7163
GCD(13, 551) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 574
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 574) = 574
GCD(1, 574) = ( 1 x 574 ) / 574
GCD(1, 574) = 574 / 574
GCD(1, 574) = 1
GCD of 520, 819, 551, 574 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 520, 819, 551, 574?
GCD of 520, 819, 551, 574 is 1
2. Where do I get the detailed procedure to find GCD of 520, 819, 551, 574?
You can find a detailed procedure to find GCD of 520, 819, 551, 574 on our page.
3. How to find GCD of 520, 819, 551, 574 on a calculator?
You can find the GCD of 520, 819, 551, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.