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 820, 432, 63, 517 i.e. 1 largest integer that divides all the numbers equally.
GCD of 820, 432, 63, 517 is 1
GCD(820, 432, 63, 517) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 820, 432, 63, 517 is 1
GCD(820, 432, 63, 517) = 1
Given Input numbers are 820, 432, 63, 517
To find the GCD of numbers using factoring list out all the divisors of each number
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 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Greatest Common Divisior
We found the divisors of 820, 432, 63, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 432, 63, 517 is 1.
Therefore, GCD of numbers 820, 432, 63, 517 is 1
Given Input Data is 820, 432, 63, 517
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 517 is 11 x 47
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(820, 432) = 88560
GCD(820, 432) = ( 820 x 432 ) / 88560
GCD(820, 432) = 354240 / 88560
GCD(820, 432) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 63) = 252
GCD(4, 63) = ( 4 x 63 ) / 252
GCD(4, 63) = 252 / 252
GCD(4, 63) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 517
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 517) = 517
GCD(1, 517) = ( 1 x 517 ) / 517
GCD(1, 517) = 517 / 517
GCD(1, 517) = 1
GCD of 820, 432, 63, 517 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 820, 432, 63, 517?
GCD of 820, 432, 63, 517 is 1
2. Where do I get the detailed procedure to find GCD of 820, 432, 63, 517?
You can find a detailed procedure to find GCD of 820, 432, 63, 517 on our page.
3. How to find GCD of 820, 432, 63, 517 on a calculator?
You can find the GCD of 820, 432, 63, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.