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 361, 911, 914, 238 i.e. 1 largest integer that divides all the numbers equally.
GCD of 361, 911, 914, 238 is 1
GCD(361, 911, 914, 238) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 361, 911, 914, 238 is 1
GCD(361, 911, 914, 238) = 1
Given Input numbers are 361, 911, 914, 238
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 911
List of positive integer divisors of 911 that divides 911 without a remainder.
1, 911
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Greatest Common Divisior
We found the divisors of 361, 911, 914, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 911, 914, 238 is 1.
Therefore, GCD of numbers 361, 911, 914, 238 is 1
Given Input Data is 361, 911, 914, 238
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 361 is 19 x 19
Prime Factorization of 911 is 911
Prime Factorization of 914 is 2 x 457
Prime Factorization of 238 is 2 x 7 x 17
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(361, 911) = 328871
GCD(361, 911) = ( 361 x 911 ) / 328871
GCD(361, 911) = 328871 / 328871
GCD(361, 911) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 914
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 914) = 914
GCD(1, 914) = ( 1 x 914 ) / 914
GCD(1, 914) = 914 / 914
GCD(1, 914) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 238
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 238) = 238
GCD(1, 238) = ( 1 x 238 ) / 238
GCD(1, 238) = 238 / 238
GCD(1, 238) = 1
GCD of 361, 911, 914, 238 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 361, 911, 914, 238?
GCD of 361, 911, 914, 238 is 1
2. Where do I get the detailed procedure to find GCD of 361, 911, 914, 238?
You can find a detailed procedure to find GCD of 361, 911, 914, 238 on our page.
3. How to find GCD of 361, 911, 914, 238 on a calculator?
You can find the GCD of 361, 911, 914, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.