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 486, 520, 409, 472 i.e. 1 largest integer that divides all the numbers equally.
GCD of 486, 520, 409, 472 is 1
GCD(486, 520, 409, 472) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 486, 520, 409, 472 is 1
GCD(486, 520, 409, 472) = 1
Given Input numbers are 486, 520, 409, 472
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 409
List of positive integer divisors of 409 that divides 409 without a remainder.
1, 409
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Greatest Common Divisior
We found the divisors of 486, 520, 409, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 520, 409, 472 is 1.
Therefore, GCD of numbers 486, 520, 409, 472 is 1
Given Input Data is 486, 520, 409, 472
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 409 is 409
Prime Factorization of 472 is 2 x 2 x 2 x 59
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(486, 520) = 126360
GCD(486, 520) = ( 486 x 520 ) / 126360
GCD(486, 520) = 252720 / 126360
GCD(486, 520) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 409
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 409) = 818
GCD(2, 409) = ( 2 x 409 ) / 818
GCD(2, 409) = 818 / 818
GCD(2, 409) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 472
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 472) = 472
GCD(1, 472) = ( 1 x 472 ) / 472
GCD(1, 472) = 472 / 472
GCD(1, 472) = 1
GCD of 486, 520, 409, 472 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 486, 520, 409, 472?
GCD of 486, 520, 409, 472 is 1
2. Where do I get the detailed procedure to find GCD of 486, 520, 409, 472?
You can find a detailed procedure to find GCD of 486, 520, 409, 472 on our page.
3. How to find GCD of 486, 520, 409, 472 on a calculator?
You can find the GCD of 486, 520, 409, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.