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 382, 118, 41, 206 i.e. 1 largest integer that divides all the numbers equally.
GCD of 382, 118, 41, 206 is 1
GCD(382, 118, 41, 206) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 382, 118, 41, 206 is 1
GCD(382, 118, 41, 206) = 1
Given Input numbers are 382, 118, 41, 206
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Greatest Common Divisior
We found the divisors of 382, 118, 41, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 118, 41, 206 is 1.
Therefore, GCD of numbers 382, 118, 41, 206 is 1
Given Input Data is 382, 118, 41, 206
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 382 is 2 x 191
Prime Factorization of 118 is 2 x 59
Prime Factorization of 41 is 41
Prime Factorization of 206 is 2 x 103
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(382, 118) = 22538
GCD(382, 118) = ( 382 x 118 ) / 22538
GCD(382, 118) = 45076 / 22538
GCD(382, 118) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 41) = 82
GCD(2, 41) = ( 2 x 41 ) / 82
GCD(2, 41) = 82 / 82
GCD(2, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 206
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 206) = 206
GCD(1, 206) = ( 1 x 206 ) / 206
GCD(1, 206) = 206 / 206
GCD(1, 206) = 1
GCD of 382, 118, 41, 206 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 382, 118, 41, 206?
GCD of 382, 118, 41, 206 is 1
2. Where do I get the detailed procedure to find GCD of 382, 118, 41, 206?
You can find a detailed procedure to find GCD of 382, 118, 41, 206 on our page.
3. How to find GCD of 382, 118, 41, 206 on a calculator?
You can find the GCD of 382, 118, 41, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.