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 313, 612, 596, 221 i.e. 1 largest integer that divides all the numbers equally.
GCD of 313, 612, 596, 221 is 1
GCD(313, 612, 596, 221) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 313, 612, 596, 221 is 1
GCD(313, 612, 596, 221) = 1
Given Input numbers are 313, 612, 596, 221
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Greatest Common Divisior
We found the divisors of 313, 612, 596, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 612, 596, 221 is 1.
Therefore, GCD of numbers 313, 612, 596, 221 is 1
Given Input Data is 313, 612, 596, 221
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 313 is 313
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 596 is 2 x 2 x 149
Prime Factorization of 221 is 13 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(313, 612) = 191556
GCD(313, 612) = ( 313 x 612 ) / 191556
GCD(313, 612) = 191556 / 191556
GCD(313, 612) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 596
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 596) = 596
GCD(1, 596) = ( 1 x 596 ) / 596
GCD(1, 596) = 596 / 596
GCD(1, 596) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
GCD(1, 221) = 221 / 221
GCD(1, 221) = 1
GCD of 313, 612, 596, 221 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 313, 612, 596, 221?
GCD of 313, 612, 596, 221 is 1
2. Where do I get the detailed procedure to find GCD of 313, 612, 596, 221?
You can find a detailed procedure to find GCD of 313, 612, 596, 221 on our page.
3. How to find GCD of 313, 612, 596, 221 on a calculator?
You can find the GCD of 313, 612, 596, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.