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 493, 665, 921, 824 i.e. 1 largest integer that divides all the numbers equally.
GCD of 493, 665, 921, 824 is 1
GCD(493, 665, 921, 824) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 493, 665, 921, 824 is 1
GCD(493, 665, 921, 824) = 1
Given Input numbers are 493, 665, 921, 824
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Greatest Common Divisior
We found the divisors of 493, 665, 921, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 665, 921, 824 is 1.
Therefore, GCD of numbers 493, 665, 921, 824 is 1
Given Input Data is 493, 665, 921, 824
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 493 is 17 x 29
Prime Factorization of 665 is 5 x 7 x 19
Prime Factorization of 921 is 3 x 307
Prime Factorization of 824 is 2 x 2 x 2 x 103
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(493, 665) = 327845
GCD(493, 665) = ( 493 x 665 ) / 327845
GCD(493, 665) = 327845 / 327845
GCD(493, 665) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 921
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
GCD(1, 921) = 921 / 921
GCD(1, 921) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 824
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 824) = 824
GCD(1, 824) = ( 1 x 824 ) / 824
GCD(1, 824) = 824 / 824
GCD(1, 824) = 1
GCD of 493, 665, 921, 824 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 493, 665, 921, 824?
GCD of 493, 665, 921, 824 is 1
2. Where do I get the detailed procedure to find GCD of 493, 665, 921, 824?
You can find a detailed procedure to find GCD of 493, 665, 921, 824 on our page.
3. How to find GCD of 493, 665, 921, 824 on a calculator?
You can find the GCD of 493, 665, 921, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.