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 112, 995, 366, 241 i.e. 1 largest integer that divides all the numbers equally.
GCD of 112, 995, 366, 241 is 1
GCD(112, 995, 366, 241) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 112, 995, 366, 241 is 1
GCD(112, 995, 366, 241) = 1
Given Input numbers are 112, 995, 366, 241
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Greatest Common Divisior
We found the divisors of 112, 995, 366, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 995, 366, 241 is 1.
Therefore, GCD of numbers 112, 995, 366, 241 is 1
Given Input Data is 112, 995, 366, 241
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 995 is 5 x 199
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 241 is 241
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(112, 995) = 111440
GCD(112, 995) = ( 112 x 995 ) / 111440
GCD(112, 995) = 111440 / 111440
GCD(112, 995) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 366) = 366
GCD(1, 366) = ( 1 x 366 ) / 366
GCD(1, 366) = 366 / 366
GCD(1, 366) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 241
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 241) = 241
GCD(1, 241) = ( 1 x 241 ) / 241
GCD(1, 241) = 241 / 241
GCD(1, 241) = 1
GCD of 112, 995, 366, 241 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 112, 995, 366, 241?
GCD of 112, 995, 366, 241 is 1
2. Where do I get the detailed procedure to find GCD of 112, 995, 366, 241?
You can find a detailed procedure to find GCD of 112, 995, 366, 241 on our page.
3. How to find GCD of 112, 995, 366, 241 on a calculator?
You can find the GCD of 112, 995, 366, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.