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 111, 371, 38, 883 i.e. 1 largest integer that divides all the numbers equally.
GCD of 111, 371, 38, 883 is 1
GCD(111, 371, 38, 883) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 111, 371, 38, 883 is 1
GCD(111, 371, 38, 883) = 1
Given Input numbers are 111, 371, 38, 883
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 883
List of positive integer divisors of 883 that divides 883 without a remainder.
1, 883
Greatest Common Divisior
We found the divisors of 111, 371, 38, 883 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 371, 38, 883 is 1.
Therefore, GCD of numbers 111, 371, 38, 883 is 1
Given Input Data is 111, 371, 38, 883
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 111 is 3 x 37
Prime Factorization of 371 is 7 x 53
Prime Factorization of 38 is 2 x 19
Prime Factorization of 883 is 883
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(111, 371) = 41181
GCD(111, 371) = ( 111 x 371 ) / 41181
GCD(111, 371) = 41181 / 41181
GCD(111, 371) = 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 883
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 883) = 883
GCD(1, 883) = ( 1 x 883 ) / 883
GCD(1, 883) = 883 / 883
GCD(1, 883) = 1
GCD of 111, 371, 38, 883 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 111, 371, 38, 883?
GCD of 111, 371, 38, 883 is 1
2. Where do I get the detailed procedure to find GCD of 111, 371, 38, 883?
You can find a detailed procedure to find GCD of 111, 371, 38, 883 on our page.
3. How to find GCD of 111, 371, 38, 883 on a calculator?
You can find the GCD of 111, 371, 38, 883 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.