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, 130, 327, 771 i.e. 1 largest integer that divides all the numbers equally.
GCD of 13, 130, 327, 771 is 1
GCD(13, 130, 327, 771) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 13, 130, 327, 771 is 1
GCD(13, 130, 327, 771) = 1
Given Input numbers are 13, 130, 327, 771
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 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Greatest Common Divisior
We found the divisors of 13, 130, 327, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 130, 327, 771 is 1.
Therefore, GCD of numbers 13, 130, 327, 771 is 1
Given Input Data is 13, 130, 327, 771
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 13 is 13
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 327 is 3 x 109
Prime Factorization of 771 is 3 x 257
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, 130) = 130
GCD(13, 130) = ( 13 x 130 ) / 130
GCD(13, 130) = 1690 / 130
GCD(13, 130) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 327
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 327) = 4251
GCD(13, 327) = ( 13 x 327 ) / 4251
GCD(13, 327) = 4251 / 4251
GCD(13, 327) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 771
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 771) = 771
GCD(1, 771) = ( 1 x 771 ) / 771
GCD(1, 771) = 771 / 771
GCD(1, 771) = 1
GCD of 13, 130, 327, 771 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 13, 130, 327, 771?
GCD of 13, 130, 327, 771 is 1
2. Where do I get the detailed procedure to find GCD of 13, 130, 327, 771?
You can find a detailed procedure to find GCD of 13, 130, 327, 771 on our page.
3. How to find GCD of 13, 130, 327, 771 on a calculator?
You can find the GCD of 13, 130, 327, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.