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 154, 320, 27 i.e. 1 largest integer that divides all the numbers equally.
GCD of 154, 320, 27 is 1
GCD(154, 320, 27) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 154, 320, 27 is 1
GCD(154, 320, 27) = 1
Given Input numbers are 154, 320, 27
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
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 154, 320, 27 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 320, 27 is 1.
Therefore, GCD of numbers 154, 320, 27 is 1
Given Input Data is 154, 320, 27
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
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(154, 320) = 24640
GCD(154, 320) = ( 154 x 320 ) / 24640
GCD(154, 320) = 49280 / 24640
GCD(154, 320) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 27) = 54
GCD(2, 27) = ( 2 x 27 ) / 54
GCD(2, 27) = 54 / 54
GCD(2, 27) = 1
GCD of 154, 320, 27 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 154, 320, 27?
GCD of 154, 320, 27 is 1
2. Where do I get the detailed procedure to find GCD of 154, 320, 27?
You can find a detailed procedure to find GCD of 154, 320, 27 on our page.
3. How to find GCD of 154, 320, 27 on a calculator?
You can find the GCD of 154, 320, 27 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.