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 159, 596, 11, 272 i.e. 1 largest integer that divides all the numbers equally.
GCD of 159, 596, 11, 272 is 1
GCD(159, 596, 11, 272) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 159, 596, 11, 272 is 1
GCD(159, 596, 11, 272) = 1
Given Input numbers are 159, 596, 11, 272
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Greatest Common Divisior
We found the divisors of 159, 596, 11, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 596, 11, 272 is 1.
Therefore, GCD of numbers 159, 596, 11, 272 is 1
Given Input Data is 159, 596, 11, 272
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 159 is 3 x 53
Prime Factorization of 596 is 2 x 2 x 149
Prime Factorization of 11 is 11
Prime Factorization of 272 is 2 x 2 x 2 x 2 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(159, 596) = 94764
GCD(159, 596) = ( 159 x 596 ) / 94764
GCD(159, 596) = 94764 / 94764
GCD(159, 596) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 11) = 11
GCD(1, 11) = ( 1 x 11 ) / 11
GCD(1, 11) = 11 / 11
GCD(1, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
GCD(1, 272) = 272 / 272
GCD(1, 272) = 1
GCD of 159, 596, 11, 272 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 159, 596, 11, 272?
GCD of 159, 596, 11, 272 is 1
2. Where do I get the detailed procedure to find GCD of 159, 596, 11, 272?
You can find a detailed procedure to find GCD of 159, 596, 11, 272 on our page.
3. How to find GCD of 159, 596, 11, 272 on a calculator?
You can find the GCD of 159, 596, 11, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.