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 767, 318, 993 i.e. 1 largest integer that divides all the numbers equally.
GCD of 767, 318, 993 is 1
GCD(767, 318, 993) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 767, 318, 993 is 1
GCD(767, 318, 993) = 1
Given Input numbers are 767, 318, 993
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Greatest Common Divisior
We found the divisors of 767, 318, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 318, 993 is 1.
Therefore, GCD of numbers 767, 318, 993 is 1
Given Input Data is 767, 318, 993
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 767 is 13 x 59
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 993 is 3 x 331
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(767, 318) = 243906
GCD(767, 318) = ( 767 x 318 ) / 243906
GCD(767, 318) = 243906 / 243906
GCD(767, 318) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 993) = 993
GCD(1, 993) = ( 1 x 993 ) / 993
GCD(1, 993) = 993 / 993
GCD(1, 993) = 1
GCD of 767, 318, 993 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 767, 318, 993?
GCD of 767, 318, 993 is 1
2. Where do I get the detailed procedure to find GCD of 767, 318, 993?
You can find a detailed procedure to find GCD of 767, 318, 993 on our page.
3. How to find GCD of 767, 318, 993 on a calculator?
You can find the GCD of 767, 318, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.