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 366, 759, 11, 676 i.e. 1 largest integer that divides all the numbers equally.
GCD of 366, 759, 11, 676 is 1
GCD(366, 759, 11, 676) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 366, 759, 11, 676 is 1
GCD(366, 759, 11, 676) = 1
Given Input numbers are 366, 759, 11, 676
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
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
Greatest Common Divisior
We found the divisors of 366, 759, 11, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 759, 11, 676 is 1.
Therefore, GCD of numbers 366, 759, 11, 676 is 1
Given Input Data is 366, 759, 11, 676
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 11 is 11
Prime Factorization of 676 is 2 x 2 x 13 x 13
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(366, 759) = 92598
GCD(366, 759) = ( 366 x 759 ) / 92598
GCD(366, 759) = 277794 / 92598
GCD(366, 759) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 11) = 33
GCD(3, 11) = ( 3 x 11 ) / 33
GCD(3, 11) = 33 / 33
GCD(3, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 676) = 676
GCD(1, 676) = ( 1 x 676 ) / 676
GCD(1, 676) = 676 / 676
GCD(1, 676) = 1
GCD of 366, 759, 11, 676 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 366, 759, 11, 676?
GCD of 366, 759, 11, 676 is 1
2. Where do I get the detailed procedure to find GCD of 366, 759, 11, 676?
You can find a detailed procedure to find GCD of 366, 759, 11, 676 on our page.
3. How to find GCD of 366, 759, 11, 676 on a calculator?
You can find the GCD of 366, 759, 11, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.