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, 913, 72, 296 i.e. 1 largest integer that divides all the numbers equally.
GCD of 573, 913, 72, 296 is 1
GCD(573, 913, 72, 296) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 573, 913, 72, 296 is 1
GCD(573, 913, 72, 296) = 1
Given Input numbers are 573, 913, 72, 296
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 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Greatest Common Divisior
We found the divisors of 573, 913, 72, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 573, 913, 72, 296 is 1.
Therefore, GCD of numbers 573, 913, 72, 296 is 1
Given Input Data is 573, 913, 72, 296
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 573 is 3 x 191
Prime Factorization of 913 is 11 x 83
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 296 is 2 x 2 x 2 x 37
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, 913) = 523149
GCD(573, 913) = ( 573 x 913 ) / 523149
GCD(573, 913) = 523149 / 523149
GCD(573, 913) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 296
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 296) = 296
GCD(1, 296) = ( 1 x 296 ) / 296
GCD(1, 296) = 296 / 296
GCD(1, 296) = 1
GCD of 573, 913, 72, 296 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 573, 913, 72, 296?
GCD of 573, 913, 72, 296 is 1
2. Where do I get the detailed procedure to find GCD of 573, 913, 72, 296?
You can find a detailed procedure to find GCD of 573, 913, 72, 296 on our page.
3. How to find GCD of 573, 913, 72, 296 on a calculator?
You can find the GCD of 573, 913, 72, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.