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 132, 455, 671, 279 i.e. 1 largest integer that divides all the numbers equally.
GCD of 132, 455, 671, 279 is 1
GCD(132, 455, 671, 279) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 132, 455, 671, 279 is 1
GCD(132, 455, 671, 279) = 1
Given Input numbers are 132, 455, 671, 279
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Greatest Common Divisior
We found the divisors of 132, 455, 671, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 455, 671, 279 is 1.
Therefore, GCD of numbers 132, 455, 671, 279 is 1
Given Input Data is 132, 455, 671, 279
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 455 is 5 x 7 x 13
Prime Factorization of 671 is 11 x 61
Prime Factorization of 279 is 3 x 3 x 31
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(132, 455) = 60060
GCD(132, 455) = ( 132 x 455 ) / 60060
GCD(132, 455) = 60060 / 60060
GCD(132, 455) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 671
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 671) = 671
GCD(1, 671) = ( 1 x 671 ) / 671
GCD(1, 671) = 671 / 671
GCD(1, 671) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 279) = 279
GCD(1, 279) = ( 1 x 279 ) / 279
GCD(1, 279) = 279 / 279
GCD(1, 279) = 1
GCD of 132, 455, 671, 279 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 132, 455, 671, 279?
GCD of 132, 455, 671, 279 is 1
2. Where do I get the detailed procedure to find GCD of 132, 455, 671, 279?
You can find a detailed procedure to find GCD of 132, 455, 671, 279 on our page.
3. How to find GCD of 132, 455, 671, 279 on a calculator?
You can find the GCD of 132, 455, 671, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.