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 30, 682, 918, 665 i.e. 1 largest integer that divides all the numbers equally.
GCD of 30, 682, 918, 665 is 1
GCD(30, 682, 918, 665) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 30, 682, 918, 665 is 1
GCD(30, 682, 918, 665) = 1
Given Input numbers are 30, 682, 918, 665
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Greatest Common Divisior
We found the divisors of 30, 682, 918, 665 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 682, 918, 665 is 1.
Therefore, GCD of numbers 30, 682, 918, 665 is 1
Given Input Data is 30, 682, 918, 665
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 665 is 5 x 7 x 19
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(30, 682) = 10230
GCD(30, 682) = ( 30 x 682 ) / 10230
GCD(30, 682) = 20460 / 10230
GCD(30, 682) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 918
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 918) = 918
GCD(2, 918) = ( 2 x 918 ) / 918
GCD(2, 918) = 1836 / 918
GCD(2, 918) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 665
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 665) = 1330
GCD(2, 665) = ( 2 x 665 ) / 1330
GCD(2, 665) = 1330 / 1330
GCD(2, 665) = 1
GCD of 30, 682, 918, 665 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 30, 682, 918, 665?
GCD of 30, 682, 918, 665 is 1
2. Where do I get the detailed procedure to find GCD of 30, 682, 918, 665?
You can find a detailed procedure to find GCD of 30, 682, 918, 665 on our page.
3. How to find GCD of 30, 682, 918, 665 on a calculator?
You can find the GCD of 30, 682, 918, 665 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.