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 924, 453, 571, 413 i.e. 1 largest integer that divides all the numbers equally.
GCD of 924, 453, 571, 413 is 1
GCD(924, 453, 571, 413) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 924, 453, 571, 413 is 1
GCD(924, 453, 571, 413) = 1
Given Input numbers are 924, 453, 571, 413
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 453
List of positive integer divisors of 453 that divides 453 without a remainder.
1, 3, 151, 453
Divisors of 571
List of positive integer divisors of 571 that divides 571 without a remainder.
1, 571
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Greatest Common Divisior
We found the divisors of 924, 453, 571, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 453, 571, 413 is 1.
Therefore, GCD of numbers 924, 453, 571, 413 is 1
Given Input Data is 924, 453, 571, 413
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 453 is 3 x 151
Prime Factorization of 571 is 571
Prime Factorization of 413 is 7 x 59
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(924, 453) = 139524
GCD(924, 453) = ( 924 x 453 ) / 139524
GCD(924, 453) = 418572 / 139524
GCD(924, 453) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 571
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 571) = 1713
GCD(3, 571) = ( 3 x 571 ) / 1713
GCD(3, 571) = 1713 / 1713
GCD(3, 571) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 413
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 413) = 413
GCD(1, 413) = ( 1 x 413 ) / 413
GCD(1, 413) = 413 / 413
GCD(1, 413) = 1
GCD of 924, 453, 571, 413 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 924, 453, 571, 413?
GCD of 924, 453, 571, 413 is 1
2. Where do I get the detailed procedure to find GCD of 924, 453, 571, 413?
You can find a detailed procedure to find GCD of 924, 453, 571, 413 on our page.
3. How to find GCD of 924, 453, 571, 413 on a calculator?
You can find the GCD of 924, 453, 571, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.