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 413, 676, 345, 303 i.e. 1 largest integer that divides all the numbers equally.
GCD of 413, 676, 345, 303 is 1
GCD(413, 676, 345, 303) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 413, 676, 345, 303 is 1
GCD(413, 676, 345, 303) = 1
Given Input numbers are 413, 676, 345, 303
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
Greatest Common Divisior
We found the divisors of 413, 676, 345, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 676, 345, 303 is 1.
Therefore, GCD of numbers 413, 676, 345, 303 is 1
Given Input Data is 413, 676, 345, 303
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 413 is 7 x 59
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 303 is 3 x 101
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(413, 676) = 279188
GCD(413, 676) = ( 413 x 676 ) / 279188
GCD(413, 676) = 279188 / 279188
GCD(413, 676) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 345
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
GCD(1, 345) = 345 / 345
GCD(1, 345) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 303
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 303) = 303
GCD(1, 303) = ( 1 x 303 ) / 303
GCD(1, 303) = 303 / 303
GCD(1, 303) = 1
GCD of 413, 676, 345, 303 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 413, 676, 345, 303?
GCD of 413, 676, 345, 303 is 1
2. Where do I get the detailed procedure to find GCD of 413, 676, 345, 303?
You can find a detailed procedure to find GCD of 413, 676, 345, 303 on our page.
3. How to find GCD of 413, 676, 345, 303 on a calculator?
You can find the GCD of 413, 676, 345, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.