GCD of 238, 816, 121 Calculator
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 238, 816, 121 i.e. 1 largest integer that divides all the numbers equally.
GCD of 238, 816, 121 is 1
GCD(238, 816, 121) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 238, 816, 121 is 1
GCD(238, 816, 121) = 1
GCDof 238,816,121 is 1
Given Input numbers are 238, 816, 121
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Greatest Common Divisior
We found the divisors of 238, 816, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 816, 121 is 1.
Therefore, GCD of numbers 238, 816, 121 is 1
Given Input Data is 238, 816, 121
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
Prime Factorization of 121 is 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 238, 816, 121 using LCM Formula
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(238, 816) = 5712
GCD(238, 816) = ( 238 x 816 ) / 5712
GCD(238, 816) = 194208 / 5712
GCD(238, 816) = 34
Step2:
Here we consider the GCD from the above i.e. 34 as first number and the next as 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(34, 121) = 4114
GCD(34, 121) = ( 34 x 121 ) / 4114
GCD(34, 121) = 4114 / 4114
GCD(34, 121) = 1
GCD of 238, 816, 121 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 238, 816, 121
1. What is the GCD of 238, 816, 121?
GCD of 238, 816, 121 is 1
2. Where do I get the detailed procedure to find GCD of 238, 816, 121?
You can find a detailed procedure to find GCD of 238, 816, 121 on our page.
3. How to find GCD of 238, 816, 121 on a calculator?
You can find the GCD of 238, 816, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.