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, 553, 13, 477 i.e. 1 largest integer that divides all the numbers equally.
GCD of 313, 553, 13, 477 is 1
GCD(313, 553, 13, 477) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 313, 553, 13, 477 is 1
GCD(313, 553, 13, 477) = 1
Given Input numbers are 313, 553, 13, 477
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 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Greatest Common Divisior
We found the divisors of 313, 553, 13, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 553, 13, 477 is 1.
Therefore, GCD of numbers 313, 553, 13, 477 is 1
Given Input Data is 313, 553, 13, 477
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 313 is 313
Prime Factorization of 553 is 7 x 79
Prime Factorization of 13 is 13
Prime Factorization of 477 is 3 x 3 x 53
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, 553) = 173089
GCD(313, 553) = ( 313 x 553 ) / 173089
GCD(313, 553) = 173089 / 173089
GCD(313, 553) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 477
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 477) = 477
GCD(1, 477) = ( 1 x 477 ) / 477
GCD(1, 477) = 477 / 477
GCD(1, 477) = 1
GCD of 313, 553, 13, 477 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 313, 553, 13, 477?
GCD of 313, 553, 13, 477 is 1
2. Where do I get the detailed procedure to find GCD of 313, 553, 13, 477?
You can find a detailed procedure to find GCD of 313, 553, 13, 477 on our page.
3. How to find GCD of 313, 553, 13, 477 on a calculator?
You can find the GCD of 313, 553, 13, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.