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, 729, 920, 501 i.e. 1 largest integer that divides all the numbers equally.
GCD of 522, 729, 920, 501 is 1
GCD(522, 729, 920, 501) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 522, 729, 920, 501 is 1
GCD(522, 729, 920, 501) = 1
Given Input numbers are 522, 729, 920, 501
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 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Greatest Common Divisior
We found the divisors of 522, 729, 920, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 729, 920, 501 is 1.
Therefore, GCD of numbers 522, 729, 920, 501 is 1
Given Input Data is 522, 729, 920, 501
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 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 501 is 3 x 167
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, 729) = 42282
GCD(522, 729) = ( 522 x 729 ) / 42282
GCD(522, 729) = 380538 / 42282
GCD(522, 729) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 920) = 8280
GCD(9, 920) = ( 9 x 920 ) / 8280
GCD(9, 920) = 8280 / 8280
GCD(9, 920) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 501
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 501) = 501
GCD(1, 501) = ( 1 x 501 ) / 501
GCD(1, 501) = 501 / 501
GCD(1, 501) = 1
GCD of 522, 729, 920, 501 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 522, 729, 920, 501?
GCD of 522, 729, 920, 501 is 1
2. Where do I get the detailed procedure to find GCD of 522, 729, 920, 501?
You can find a detailed procedure to find GCD of 522, 729, 920, 501 on our page.
3. How to find GCD of 522, 729, 920, 501 on a calculator?
You can find the GCD of 522, 729, 920, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.