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 13, 329, 798, 545 i.e. 1 largest integer that divides all the numbers equally.
GCD of 13, 329, 798, 545 is 1
GCD(13, 329, 798, 545) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 13, 329, 798, 545 is 1
GCD(13, 329, 798, 545) = 1
Given Input numbers are 13, 329, 798, 545
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Greatest Common Divisior
We found the divisors of 13, 329, 798, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 329, 798, 545 is 1.
Therefore, GCD of numbers 13, 329, 798, 545 is 1
Given Input Data is 13, 329, 798, 545
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 13 is 13
Prime Factorization of 329 is 7 x 47
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 545 is 5 x 109
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(13, 329) = 4277
GCD(13, 329) = ( 13 x 329 ) / 4277
GCD(13, 329) = 4277 / 4277
GCD(13, 329) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 798
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 798) = 798
GCD(1, 798) = ( 1 x 798 ) / 798
GCD(1, 798) = 798 / 798
GCD(1, 798) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 545
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 545) = 545
GCD(1, 545) = ( 1 x 545 ) / 545
GCD(1, 545) = 545 / 545
GCD(1, 545) = 1
GCD of 13, 329, 798, 545 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 13, 329, 798, 545?
GCD of 13, 329, 798, 545 is 1
2. Where do I get the detailed procedure to find GCD of 13, 329, 798, 545?
You can find a detailed procedure to find GCD of 13, 329, 798, 545 on our page.
3. How to find GCD of 13, 329, 798, 545 on a calculator?
You can find the GCD of 13, 329, 798, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.