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, 529, 688, 517 i.e. 1 largest integer that divides all the numbers equally.
GCD of 521, 529, 688, 517 is 1
GCD(521, 529, 688, 517) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 521, 529, 688, 517 is 1
GCD(521, 529, 688, 517) = 1
Given Input numbers are 521, 529, 688, 517
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 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Greatest Common Divisior
We found the divisors of 521, 529, 688, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 521, 529, 688, 517 is 1.
Therefore, GCD of numbers 521, 529, 688, 517 is 1
Given Input Data is 521, 529, 688, 517
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 521 is 521
Prime Factorization of 529 is 23 x 23
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 517 is 11 x 47
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, 529) = 275609
GCD(521, 529) = ( 521 x 529 ) / 275609
GCD(521, 529) = 275609 / 275609
GCD(521, 529) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 688
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 688) = 688
GCD(1, 688) = ( 1 x 688 ) / 688
GCD(1, 688) = 688 / 688
GCD(1, 688) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 517
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 517) = 517
GCD(1, 517) = ( 1 x 517 ) / 517
GCD(1, 517) = 517 / 517
GCD(1, 517) = 1
GCD of 521, 529, 688, 517 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 521, 529, 688, 517?
GCD of 521, 529, 688, 517 is 1
2. Where do I get the detailed procedure to find GCD of 521, 529, 688, 517?
You can find a detailed procedure to find GCD of 521, 529, 688, 517 on our page.
3. How to find GCD of 521, 529, 688, 517 on a calculator?
You can find the GCD of 521, 529, 688, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.