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 681, 765, 279 i.e. 3 largest integer that divides all the numbers equally.
GCD of 681, 765, 279 is 3
GCD(681, 765, 279) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 681, 765, 279 is 3
GCD(681, 765, 279) = 3
Given Input numbers are 681, 765, 279
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Greatest Common Divisior
We found the divisors of 681, 765, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 681, 765, 279 is 3.
Therefore, GCD of numbers 681, 765, 279 is 3
Given Input Data is 681, 765, 279
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 681 is 3 x 227
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 279 is 3 x 3 x 31
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(681, 765) = 173655
GCD(681, 765) = ( 681 x 765 ) / 173655
GCD(681, 765) = 520965 / 173655
GCD(681, 765) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 279) = 279
GCD(3, 279) = ( 3 x 279 ) / 279
GCD(3, 279) = 837 / 279
GCD(3, 279) = 3
GCD of 681, 765, 279 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 681, 765, 279?
GCD of 681, 765, 279 is 3
2. Where do I get the detailed procedure to find GCD of 681, 765, 279?
You can find a detailed procedure to find GCD of 681, 765, 279 on our page.
3. How to find GCD of 681, 765, 279 on a calculator?
You can find the GCD of 681, 765, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.