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 530, 663, 502, 772 i.e. 1 largest integer that divides all the numbers equally.
GCD of 530, 663, 502, 772 is 1
GCD(530, 663, 502, 772) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 530, 663, 502, 772 is 1
GCD(530, 663, 502, 772) = 1
Given Input numbers are 530, 663, 502, 772
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 530
List of positive integer divisors of 530 that divides 530 without a remainder.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Greatest Common Divisior
We found the divisors of 530, 663, 502, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 663, 502, 772 is 1.
Therefore, GCD of numbers 530, 663, 502, 772 is 1
Given Input Data is 530, 663, 502, 772
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 530 is 2 x 5 x 53
Prime Factorization of 663 is 3 x 13 x 17
Prime Factorization of 502 is 2 x 251
Prime Factorization of 772 is 2 x 2 x 193
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(530, 663) = 351390
GCD(530, 663) = ( 530 x 663 ) / 351390
GCD(530, 663) = 351390 / 351390
GCD(530, 663) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 502
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 502) = 502
GCD(1, 502) = ( 1 x 502 ) / 502
GCD(1, 502) = 502 / 502
GCD(1, 502) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
GCD(1, 772) = 772 / 772
GCD(1, 772) = 1
GCD of 530, 663, 502, 772 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 530, 663, 502, 772?
GCD of 530, 663, 502, 772 is 1
2. Where do I get the detailed procedure to find GCD of 530, 663, 502, 772?
You can find a detailed procedure to find GCD of 530, 663, 502, 772 on our page.
3. How to find GCD of 530, 663, 502, 772 on a calculator?
You can find the GCD of 530, 663, 502, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.