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 522, 300, 63, 502 i.e. 1 largest integer that divides all the numbers equally.
GCD of 522, 300, 63, 502 is 1
GCD(522, 300, 63, 502) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 522, 300, 63, 502 is 1
GCD(522, 300, 63, 502) = 1
Given Input numbers are 522, 300, 63, 502
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Greatest Common Divisior
We found the divisors of 522, 300, 63, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 300, 63, 502 is 1.
Therefore, GCD of numbers 522, 300, 63, 502 is 1
Given Input Data is 522, 300, 63, 502
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 522 is 2 x 3 x 3 x 29
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 502 is 2 x 251
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(522, 300) = 26100
GCD(522, 300) = ( 522 x 300 ) / 26100
GCD(522, 300) = 156600 / 26100
GCD(522, 300) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 63) = 126
GCD(6, 63) = ( 6 x 63 ) / 126
GCD(6, 63) = 378 / 126
GCD(6, 63) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 502
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 502) = 1506
GCD(3, 502) = ( 3 x 502 ) / 1506
GCD(3, 502) = 1506 / 1506
GCD(3, 502) = 1
GCD of 522, 300, 63, 502 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 522, 300, 63, 502?
GCD of 522, 300, 63, 502 is 1
2. Where do I get the detailed procedure to find GCD of 522, 300, 63, 502?
You can find a detailed procedure to find GCD of 522, 300, 63, 502 on our page.
3. How to find GCD of 522, 300, 63, 502 on a calculator?
You can find the GCD of 522, 300, 63, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.