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 573, 838, 23, 748 i.e. 1 largest integer that divides all the numbers equally.
GCD of 573, 838, 23, 748 is 1
GCD(573, 838, 23, 748) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 573, 838, 23, 748 is 1
GCD(573, 838, 23, 748) = 1
Given Input numbers are 573, 838, 23, 748
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Greatest Common Divisior
We found the divisors of 573, 838, 23, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 573, 838, 23, 748 is 1.
Therefore, GCD of numbers 573, 838, 23, 748 is 1
Given Input Data is 573, 838, 23, 748
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 573 is 3 x 191
Prime Factorization of 838 is 2 x 419
Prime Factorization of 23 is 23
Prime Factorization of 748 is 2 x 2 x 11 x 17
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(573, 838) = 480174
GCD(573, 838) = ( 573 x 838 ) / 480174
GCD(573, 838) = 480174 / 480174
GCD(573, 838) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 23) = 23
GCD(1, 23) = ( 1 x 23 ) / 23
GCD(1, 23) = 23 / 23
GCD(1, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 748
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
GCD(1, 748) = 748 / 748
GCD(1, 748) = 1
GCD of 573, 838, 23, 748 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 573, 838, 23, 748?
GCD of 573, 838, 23, 748 is 1
2. Where do I get the detailed procedure to find GCD of 573, 838, 23, 748?
You can find a detailed procedure to find GCD of 573, 838, 23, 748 on our page.
3. How to find GCD of 573, 838, 23, 748 on a calculator?
You can find the GCD of 573, 838, 23, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.