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 153, 573, 33, 296 i.e. 1 largest integer that divides all the numbers equally.
GCD of 153, 573, 33, 296 is 1
GCD(153, 573, 33, 296) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 153, 573, 33, 296 is 1
GCD(153, 573, 33, 296) = 1
Given Input numbers are 153, 573, 33, 296
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
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 153, 573, 33, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 573, 33, 296 is 1.
Therefore, GCD of numbers 153, 573, 33, 296 is 1
Given Input Data is 153, 573, 33, 296
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 573 is 3 x 191
Prime Factorization of 33 is 3 x 11
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(153, 573) = 29223
GCD(153, 573) = ( 153 x 573 ) / 29223
GCD(153, 573) = 87669 / 29223
GCD(153, 573) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 33) = 33
GCD(3, 33) = ( 3 x 33 ) / 33
GCD(3, 33) = 99 / 33
GCD(3, 33) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 296
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 296) = 888
GCD(3, 296) = ( 3 x 296 ) / 888
GCD(3, 296) = 888 / 888
GCD(3, 296) = 1
GCD of 153, 573, 33, 296 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 153, 573, 33, 296?
GCD of 153, 573, 33, 296 is 1
2. Where do I get the detailed procedure to find GCD of 153, 573, 33, 296?
You can find a detailed procedure to find GCD of 153, 573, 33, 296 on our page.
3. How to find GCD of 153, 573, 33, 296 on a calculator?
You can find the GCD of 153, 573, 33, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.