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 27, 994, 340, 660 i.e. 1 largest integer that divides all the numbers equally.
GCD of 27, 994, 340, 660 is 1
GCD(27, 994, 340, 660) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 27, 994, 340, 660 is 1
GCD(27, 994, 340, 660) = 1
Given Input numbers are 27, 994, 340, 660
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Greatest Common Divisior
We found the divisors of 27, 994, 340, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 994, 340, 660 is 1.
Therefore, GCD of numbers 27, 994, 340, 660 is 1
Given Input Data is 27, 994, 340, 660
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 994 is 2 x 7 x 71
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
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(27, 994) = 26838
GCD(27, 994) = ( 27 x 994 ) / 26838
GCD(27, 994) = 26838 / 26838
GCD(27, 994) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 340
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 340) = 340
GCD(1, 340) = ( 1 x 340 ) / 340
GCD(1, 340) = 340 / 340
GCD(1, 340) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 660
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 660) = 660
GCD(1, 660) = ( 1 x 660 ) / 660
GCD(1, 660) = 660 / 660
GCD(1, 660) = 1
GCD of 27, 994, 340, 660 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 27, 994, 340, 660?
GCD of 27, 994, 340, 660 is 1
2. Where do I get the detailed procedure to find GCD of 27, 994, 340, 660?
You can find a detailed procedure to find GCD of 27, 994, 340, 660 on our page.
3. How to find GCD of 27, 994, 340, 660 on a calculator?
You can find the GCD of 27, 994, 340, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.