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 480, 221, 983, 396 i.e. 1 largest integer that divides all the numbers equally.
GCD of 480, 221, 983, 396 is 1
GCD(480, 221, 983, 396) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 480, 221, 983, 396 is 1
GCD(480, 221, 983, 396) = 1
Given Input numbers are 480, 221, 983, 396
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Greatest Common Divisior
We found the divisors of 480, 221, 983, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 221, 983, 396 is 1.
Therefore, GCD of numbers 480, 221, 983, 396 is 1
Given Input Data is 480, 221, 983, 396
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 221 is 13 x 17
Prime Factorization of 983 is 983
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
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(480, 221) = 106080
GCD(480, 221) = ( 480 x 221 ) / 106080
GCD(480, 221) = 106080 / 106080
GCD(480, 221) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 983
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 983) = 983
GCD(1, 983) = ( 1 x 983 ) / 983
GCD(1, 983) = 983 / 983
GCD(1, 983) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
GCD(1, 396) = 396 / 396
GCD(1, 396) = 1
GCD of 480, 221, 983, 396 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 480, 221, 983, 396?
GCD of 480, 221, 983, 396 is 1
2. Where do I get the detailed procedure to find GCD of 480, 221, 983, 396?
You can find a detailed procedure to find GCD of 480, 221, 983, 396 on our page.
3. How to find GCD of 480, 221, 983, 396 on a calculator?
You can find the GCD of 480, 221, 983, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.