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 523, 484, 413, 486 i.e. 1 largest integer that divides all the numbers equally.
GCD of 523, 484, 413, 486 is 1
GCD(523, 484, 413, 486) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 523, 484, 413, 486 is 1
GCD(523, 484, 413, 486) = 1
Given Input numbers are 523, 484, 413, 486
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Greatest Common Divisior
We found the divisors of 523, 484, 413, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 484, 413, 486 is 1.
Therefore, GCD of numbers 523, 484, 413, 486 is 1
Given Input Data is 523, 484, 413, 486
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 523 is 523
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 413 is 7 x 59
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
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(523, 484) = 253132
GCD(523, 484) = ( 523 x 484 ) / 253132
GCD(523, 484) = 253132 / 253132
GCD(523, 484) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 413
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 413) = 413
GCD(1, 413) = ( 1 x 413 ) / 413
GCD(1, 413) = 413 / 413
GCD(1, 413) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 486
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 486) = 486
GCD(1, 486) = ( 1 x 486 ) / 486
GCD(1, 486) = 486 / 486
GCD(1, 486) = 1
GCD of 523, 484, 413, 486 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 523, 484, 413, 486?
GCD of 523, 484, 413, 486 is 1
2. Where do I get the detailed procedure to find GCD of 523, 484, 413, 486?
You can find a detailed procedure to find GCD of 523, 484, 413, 486 on our page.
3. How to find GCD of 523, 484, 413, 486 on a calculator?
You can find the GCD of 523, 484, 413, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.