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 766, 397, 13, 643 i.e. 1 largest integer that divides all the numbers equally.
GCD of 766, 397, 13, 643 is 1
GCD(766, 397, 13, 643) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 766, 397, 13, 643 is 1
GCD(766, 397, 13, 643) = 1
Given Input numbers are 766, 397, 13, 643
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Greatest Common Divisior
We found the divisors of 766, 397, 13, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 397, 13, 643 is 1.
Therefore, GCD of numbers 766, 397, 13, 643 is 1
Given Input Data is 766, 397, 13, 643
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 766 is 2 x 383
Prime Factorization of 397 is 397
Prime Factorization of 13 is 13
Prime Factorization of 643 is 643
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(766, 397) = 304102
GCD(766, 397) = ( 766 x 397 ) / 304102
GCD(766, 397) = 304102 / 304102
GCD(766, 397) = 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 643
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 643) = 643
GCD(1, 643) = ( 1 x 643 ) / 643
GCD(1, 643) = 643 / 643
GCD(1, 643) = 1
GCD of 766, 397, 13, 643 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 766, 397, 13, 643?
GCD of 766, 397, 13, 643 is 1
2. Where do I get the detailed procedure to find GCD of 766, 397, 13, 643?
You can find a detailed procedure to find GCD of 766, 397, 13, 643 on our page.
3. How to find GCD of 766, 397, 13, 643 on a calculator?
You can find the GCD of 766, 397, 13, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.