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 663, 441, 50, 820 i.e. 1 largest integer that divides all the numbers equally.
GCD of 663, 441, 50, 820 is 1
GCD(663, 441, 50, 820) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 663, 441, 50, 820 is 1
GCD(663, 441, 50, 820) = 1
Given Input numbers are 663, 441, 50, 820
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
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
Greatest Common Divisior
We found the divisors of 663, 441, 50, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 441, 50, 820 is 1.
Therefore, GCD of numbers 663, 441, 50, 820 is 1
Given Input Data is 663, 441, 50, 820
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 663 is 3 x 13 x 17
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 820 is 2 x 2 x 5 x 41
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(663, 441) = 97461
GCD(663, 441) = ( 663 x 441 ) / 97461
GCD(663, 441) = 292383 / 97461
GCD(663, 441) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 50) = 150
GCD(3, 50) = ( 3 x 50 ) / 150
GCD(3, 50) = 150 / 150
GCD(3, 50) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 820
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
GCD(1, 820) = 820 / 820
GCD(1, 820) = 1
GCD of 663, 441, 50, 820 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 663, 441, 50, 820?
GCD of 663, 441, 50, 820 is 1
2. Where do I get the detailed procedure to find GCD of 663, 441, 50, 820?
You can find a detailed procedure to find GCD of 663, 441, 50, 820 on our page.
3. How to find GCD of 663, 441, 50, 820 on a calculator?
You can find the GCD of 663, 441, 50, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.