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 447, 820, 353, 469 i.e. 1 largest integer that divides all the numbers equally.
GCD of 447, 820, 353, 469 is 1
GCD(447, 820, 353, 469) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 447, 820, 353, 469 is 1
GCD(447, 820, 353, 469) = 1
Given Input numbers are 447, 820, 353, 469
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 447
List of positive integer divisors of 447 that divides 447 without a remainder.
1, 3, 149, 447
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Greatest Common Divisior
We found the divisors of 447, 820, 353, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 447, 820, 353, 469 is 1.
Therefore, GCD of numbers 447, 820, 353, 469 is 1
Given Input Data is 447, 820, 353, 469
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 447 is 3 x 149
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 353 is 353
Prime Factorization of 469 is 7 x 67
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(447, 820) = 366540
GCD(447, 820) = ( 447 x 820 ) / 366540
GCD(447, 820) = 366540 / 366540
GCD(447, 820) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 353
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 353) = 353
GCD(1, 353) = ( 1 x 353 ) / 353
GCD(1, 353) = 353 / 353
GCD(1, 353) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 469
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 469) = 469
GCD(1, 469) = ( 1 x 469 ) / 469
GCD(1, 469) = 469 / 469
GCD(1, 469) = 1
GCD of 447, 820, 353, 469 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 447, 820, 353, 469?
GCD of 447, 820, 353, 469 is 1
2. Where do I get the detailed procedure to find GCD of 447, 820, 353, 469?
You can find a detailed procedure to find GCD of 447, 820, 353, 469 on our page.
3. How to find GCD of 447, 820, 353, 469 on a calculator?
You can find the GCD of 447, 820, 353, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.