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 661, 338, 27 i.e. 1 largest integer that divides all the numbers equally.
GCD of 661, 338, 27 is 1
GCD(661, 338, 27) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 661, 338, 27 is 1
GCD(661, 338, 27) = 1
Given Input numbers are 661, 338, 27
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 661
List of positive integer divisors of 661 that divides 661 without a remainder.
1, 661
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Greatest Common Divisior
We found the divisors of 661, 338, 27 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 661, 338, 27 is 1.
Therefore, GCD of numbers 661, 338, 27 is 1
Given Input Data is 661, 338, 27
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 661 is 661
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 27 is 3 x 3 x 3
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(661, 338) = 223418
GCD(661, 338) = ( 661 x 338 ) / 223418
GCD(661, 338) = 223418 / 223418
GCD(661, 338) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 27) = 27
GCD(1, 27) = ( 1 x 27 ) / 27
GCD(1, 27) = 27 / 27
GCD(1, 27) = 1
GCD of 661, 338, 27 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 661, 338, 27?
GCD of 661, 338, 27 is 1
2. Where do I get the detailed procedure to find GCD of 661, 338, 27?
You can find a detailed procedure to find GCD of 661, 338, 27 on our page.
3. How to find GCD of 661, 338, 27 on a calculator?
You can find the GCD of 661, 338, 27 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.