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 466, 324, 353, 520 i.e. 1 largest integer that divides all the numbers equally.
GCD of 466, 324, 353, 520 is 1
GCD(466, 324, 353, 520) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 466, 324, 353, 520 is 1
GCD(466, 324, 353, 520) = 1
Given Input numbers are 466, 324, 353, 520
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
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
Greatest Common Divisior
We found the divisors of 466, 324, 353, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 324, 353, 520 is 1.
Therefore, GCD of numbers 466, 324, 353, 520 is 1
Given Input Data is 466, 324, 353, 520
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 466 is 2 x 233
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 353 is 353
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
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(466, 324) = 75492
GCD(466, 324) = ( 466 x 324 ) / 75492
GCD(466, 324) = 150984 / 75492
GCD(466, 324) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 353
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 353) = 706
GCD(2, 353) = ( 2 x 353 ) / 706
GCD(2, 353) = 706 / 706
GCD(2, 353) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 520) = 520
GCD(1, 520) = ( 1 x 520 ) / 520
GCD(1, 520) = 520 / 520
GCD(1, 520) = 1
GCD of 466, 324, 353, 520 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 466, 324, 353, 520?
GCD of 466, 324, 353, 520 is 1
2. Where do I get the detailed procedure to find GCD of 466, 324, 353, 520?
You can find a detailed procedure to find GCD of 466, 324, 353, 520 on our page.
3. How to find GCD of 466, 324, 353, 520 on a calculator?
You can find the GCD of 466, 324, 353, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.