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, 382, 38, 881 i.e. 1 largest integer that divides all the numbers equally.
GCD of 109, 382, 38, 881 is 1
GCD(109, 382, 38, 881) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 109, 382, 38, 881 is 1
GCD(109, 382, 38, 881) = 1
Given Input numbers are 109, 382, 38, 881
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 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 881
List of positive integer divisors of 881 that divides 881 without a remainder.
1, 881
Greatest Common Divisior
We found the divisors of 109, 382, 38, 881 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 382, 38, 881 is 1.
Therefore, GCD of numbers 109, 382, 38, 881 is 1
Given Input Data is 109, 382, 38, 881
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 109 is 109
Prime Factorization of 382 is 2 x 191
Prime Factorization of 38 is 2 x 19
Prime Factorization of 881 is 881
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, 382) = 41638
GCD(109, 382) = ( 109 x 382 ) / 41638
GCD(109, 382) = 41638 / 41638
GCD(109, 382) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
GCD(1, 38) = 38 / 38
GCD(1, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 881
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 881) = 881
GCD(1, 881) = ( 1 x 881 ) / 881
GCD(1, 881) = 881 / 881
GCD(1, 881) = 1
GCD of 109, 382, 38, 881 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 109, 382, 38, 881?
GCD of 109, 382, 38, 881 is 1
2. Where do I get the detailed procedure to find GCD of 109, 382, 38, 881?
You can find a detailed procedure to find GCD of 109, 382, 38, 881 on our page.
3. How to find GCD of 109, 382, 38, 881 on a calculator?
You can find the GCD of 109, 382, 38, 881 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.