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 724, 884, 555, 462 i.e. 1 largest integer that divides all the numbers equally.
GCD of 724, 884, 555, 462 is 1
GCD(724, 884, 555, 462) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 884, 555, 462 is 1
GCD(724, 884, 555, 462) = 1
Given Input numbers are 724, 884, 555, 462
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Greatest Common Divisior
We found the divisors of 724, 884, 555, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 884, 555, 462 is 1.
Therefore, GCD of numbers 724, 884, 555, 462 is 1
Given Input Data is 724, 884, 555, 462
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 884 is 2 x 2 x 13 x 17
Prime Factorization of 555 is 3 x 5 x 37
Prime Factorization of 462 is 2 x 3 x 7 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(724, 884) = 160004
GCD(724, 884) = ( 724 x 884 ) / 160004
GCD(724, 884) = 640016 / 160004
GCD(724, 884) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 555
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 555) = 2220
GCD(4, 555) = ( 4 x 555 ) / 2220
GCD(4, 555) = 2220 / 2220
GCD(4, 555) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 462
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
GCD(1, 462) = 462 / 462
GCD(1, 462) = 1
GCD of 724, 884, 555, 462 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 884, 555, 462?
GCD of 724, 884, 555, 462 is 1
2. Where do I get the detailed procedure to find GCD of 724, 884, 555, 462?
You can find a detailed procedure to find GCD of 724, 884, 555, 462 on our page.
3. How to find GCD of 724, 884, 555, 462 on a calculator?
You can find the GCD of 724, 884, 555, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.