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 774, 676, 883 i.e. 1 largest integer that divides all the numbers equally.
GCD of 774, 676, 883 is 1
GCD(774, 676, 883) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 774, 676, 883 is 1
GCD(774, 676, 883) = 1
Given Input numbers are 774, 676, 883
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 883
List of positive integer divisors of 883 that divides 883 without a remainder.
1, 883
Greatest Common Divisior
We found the divisors of 774, 676, 883 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 676, 883 is 1.
Therefore, GCD of numbers 774, 676, 883 is 1
Given Input Data is 774, 676, 883
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 883 is 883
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(774, 676) = 261612
GCD(774, 676) = ( 774 x 676 ) / 261612
GCD(774, 676) = 523224 / 261612
GCD(774, 676) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 883
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 883) = 1766
GCD(2, 883) = ( 2 x 883 ) / 1766
GCD(2, 883) = 1766 / 1766
GCD(2, 883) = 1
GCD of 774, 676, 883 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 774, 676, 883?
GCD of 774, 676, 883 is 1
2. Where do I get the detailed procedure to find GCD of 774, 676, 883?
You can find a detailed procedure to find GCD of 774, 676, 883 on our page.
3. How to find GCD of 774, 676, 883 on a calculator?
You can find the GCD of 774, 676, 883 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.