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 109, 291, 279, 182 i.e. 1 largest integer that divides all the numbers equally.
GCD of 109, 291, 279, 182 is 1
GCD(109, 291, 279, 182) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 109, 291, 279, 182 is 1
GCD(109, 291, 279, 182) = 1
Given Input numbers are 109, 291, 279, 182
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Greatest Common Divisior
We found the divisors of 109, 291, 279, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 291, 279, 182 is 1.
Therefore, GCD of numbers 109, 291, 279, 182 is 1
Given Input Data is 109, 291, 279, 182
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 109 is 109
Prime Factorization of 291 is 3 x 97
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 182 is 2 x 7 x 13
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(109, 291) = 31719
GCD(109, 291) = ( 109 x 291 ) / 31719
GCD(109, 291) = 31719 / 31719
GCD(109, 291) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 182
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 182) = 182
GCD(1, 182) = ( 1 x 182 ) / 182
GCD(1, 182) = 182 / 182
GCD(1, 182) = 1
GCD of 109, 291, 279, 182 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 109, 291, 279, 182?
GCD of 109, 291, 279, 182 is 1
2. Where do I get the detailed procedure to find GCD of 109, 291, 279, 182?
You can find a detailed procedure to find GCD of 109, 291, 279, 182 on our page.
3. How to find GCD of 109, 291, 279, 182 on a calculator?
You can find the GCD of 109, 291, 279, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.