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, 724, 881, 817 i.e. 1 largest integer that divides all the numbers equally.
GCD of 480, 724, 881, 817 is 1
GCD(480, 724, 881, 817) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 480, 724, 881, 817 is 1
GCD(480, 724, 881, 817) = 1
Given Input numbers are 480, 724, 881, 817
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 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 881
List of positive integer divisors of 881 that divides 881 without a remainder.
1, 881
Divisors of 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Greatest Common Divisior
We found the divisors of 480, 724, 881, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 724, 881, 817 is 1.
Therefore, GCD of numbers 480, 724, 881, 817 is 1
Given Input Data is 480, 724, 881, 817
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 724 is 2 x 2 x 181
Prime Factorization of 881 is 881
Prime Factorization of 817 is 19 x 43
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, 724) = 86880
GCD(480, 724) = ( 480 x 724 ) / 86880
GCD(480, 724) = 347520 / 86880
GCD(480, 724) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 881
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 881) = 3524
GCD(4, 881) = ( 4 x 881 ) / 3524
GCD(4, 881) = 3524 / 3524
GCD(4, 881) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 817
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 817) = 817
GCD(1, 817) = ( 1 x 817 ) / 817
GCD(1, 817) = 817 / 817
GCD(1, 817) = 1
GCD of 480, 724, 881, 817 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 480, 724, 881, 817?
GCD of 480, 724, 881, 817 is 1
2. Where do I get the detailed procedure to find GCD of 480, 724, 881, 817?
You can find a detailed procedure to find GCD of 480, 724, 881, 817 on our page.
3. How to find GCD of 480, 724, 881, 817 on a calculator?
You can find the GCD of 480, 724, 881, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.