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, 662, 708, 305 i.e. 1 largest integer that divides all the numbers equally.
GCD of 27, 662, 708, 305 is 1
GCD(27, 662, 708, 305) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 27, 662, 708, 305 is 1
GCD(27, 662, 708, 305) = 1
Given Input numbers are 27, 662, 708, 305
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 662
List of positive integer divisors of 662 that divides 662 without a remainder.
1, 2, 331, 662
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Greatest Common Divisior
We found the divisors of 27, 662, 708, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 662, 708, 305 is 1.
Therefore, GCD of numbers 27, 662, 708, 305 is 1
Given Input Data is 27, 662, 708, 305
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 662 is 2 x 331
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 305 is 5 x 61
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, 662) = 17874
GCD(27, 662) = ( 27 x 662 ) / 17874
GCD(27, 662) = 17874 / 17874
GCD(27, 662) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 708
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 708) = 708
GCD(1, 708) = ( 1 x 708 ) / 708
GCD(1, 708) = 708 / 708
GCD(1, 708) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 305
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 305) = 305
GCD(1, 305) = ( 1 x 305 ) / 305
GCD(1, 305) = 305 / 305
GCD(1, 305) = 1
GCD of 27, 662, 708, 305 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 27, 662, 708, 305?
GCD of 27, 662, 708, 305 is 1
2. Where do I get the detailed procedure to find GCD of 27, 662, 708, 305?
You can find a detailed procedure to find GCD of 27, 662, 708, 305 on our page.
3. How to find GCD of 27, 662, 708, 305 on a calculator?
You can find the GCD of 27, 662, 708, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.