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, 727, 402, 409 i.e. 1 largest integer that divides all the numbers equally.
GCD of 313, 727, 402, 409 is 1
GCD(313, 727, 402, 409) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 313, 727, 402, 409 is 1
GCD(313, 727, 402, 409) = 1
Given Input numbers are 313, 727, 402, 409
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 727
List of positive integer divisors of 727 that divides 727 without a remainder.
1, 727
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 409
List of positive integer divisors of 409 that divides 409 without a remainder.
1, 409
Greatest Common Divisior
We found the divisors of 313, 727, 402, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 727, 402, 409 is 1.
Therefore, GCD of numbers 313, 727, 402, 409 is 1
Given Input Data is 313, 727, 402, 409
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 313 is 313
Prime Factorization of 727 is 727
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 409 is 409
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, 727) = 227551
GCD(313, 727) = ( 313 x 727 ) / 227551
GCD(313, 727) = 227551 / 227551
GCD(313, 727) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 402) = 402
GCD(1, 402) = ( 1 x 402 ) / 402
GCD(1, 402) = 402 / 402
GCD(1, 402) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 409
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 409) = 409
GCD(1, 409) = ( 1 x 409 ) / 409
GCD(1, 409) = 409 / 409
GCD(1, 409) = 1
GCD of 313, 727, 402, 409 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 313, 727, 402, 409?
GCD of 313, 727, 402, 409 is 1
2. Where do I get the detailed procedure to find GCD of 313, 727, 402, 409?
You can find a detailed procedure to find GCD of 313, 727, 402, 409 on our page.
3. How to find GCD of 313, 727, 402, 409 on a calculator?
You can find the GCD of 313, 727, 402, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.