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 514, 529, 60, 424 i.e. 1 largest integer that divides all the numbers equally.
GCD of 514, 529, 60, 424 is 1
GCD(514, 529, 60, 424) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 514, 529, 60, 424 is 1
GCD(514, 529, 60, 424) = 1
Given Input numbers are 514, 529, 60, 424
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Greatest Common Divisior
We found the divisors of 514, 529, 60, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 529, 60, 424 is 1.
Therefore, GCD of numbers 514, 529, 60, 424 is 1
Given Input Data is 514, 529, 60, 424
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 514 is 2 x 257
Prime Factorization of 529 is 23 x 23
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 424 is 2 x 2 x 2 x 53
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(514, 529) = 271906
GCD(514, 529) = ( 514 x 529 ) / 271906
GCD(514, 529) = 271906 / 271906
GCD(514, 529) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 424
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 424) = 424
GCD(1, 424) = ( 1 x 424 ) / 424
GCD(1, 424) = 424 / 424
GCD(1, 424) = 1
GCD of 514, 529, 60, 424 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 514, 529, 60, 424?
GCD of 514, 529, 60, 424 is 1
2. Where do I get the detailed procedure to find GCD of 514, 529, 60, 424?
You can find a detailed procedure to find GCD of 514, 529, 60, 424 on our page.
3. How to find GCD of 514, 529, 60, 424 on a calculator?
You can find the GCD of 514, 529, 60, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.