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 723, 493, 268, 290 i.e. 1 largest integer that divides all the numbers equally.
GCD of 723, 493, 268, 290 is 1
GCD(723, 493, 268, 290) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 723, 493, 268, 290 is 1
GCD(723, 493, 268, 290) = 1
Given Input numbers are 723, 493, 268, 290
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Greatest Common Divisior
We found the divisors of 723, 493, 268, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 493, 268, 290 is 1.
Therefore, GCD of numbers 723, 493, 268, 290 is 1
Given Input Data is 723, 493, 268, 290
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 723 is 3 x 241
Prime Factorization of 493 is 17 x 29
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 290 is 2 x 5 x 29
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(723, 493) = 356439
GCD(723, 493) = ( 723 x 493 ) / 356439
GCD(723, 493) = 356439 / 356439
GCD(723, 493) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 268
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 268) = 268
GCD(1, 268) = ( 1 x 268 ) / 268
GCD(1, 268) = 268 / 268
GCD(1, 268) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 290
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 290) = 290
GCD(1, 290) = ( 1 x 290 ) / 290
GCD(1, 290) = 290 / 290
GCD(1, 290) = 1
GCD of 723, 493, 268, 290 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 723, 493, 268, 290?
GCD of 723, 493, 268, 290 is 1
2. Where do I get the detailed procedure to find GCD of 723, 493, 268, 290?
You can find a detailed procedure to find GCD of 723, 493, 268, 290 on our page.
3. How to find GCD of 723, 493, 268, 290 on a calculator?
You can find the GCD of 723, 493, 268, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.