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 114, 212, 11, 121 i.e. 1 largest integer that divides all the numbers equally.
GCD of 114, 212, 11, 121 is 1
GCD(114, 212, 11, 121) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 114, 212, 11, 121 is 1
GCD(114, 212, 11, 121) = 1
Given Input numbers are 114, 212, 11, 121
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
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 114, 212, 11, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 212, 11, 121 is 1.
Therefore, GCD of numbers 114, 212, 11, 121 is 1
Given Input Data is 114, 212, 11, 121
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 114 is 2 x 3 x 19
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 11 is 11
Prime Factorization of 121 is 11 x 11
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(114, 212) = 12084
GCD(114, 212) = ( 114 x 212 ) / 12084
GCD(114, 212) = 24168 / 12084
GCD(114, 212) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 11) = 22
GCD(2, 11) = ( 2 x 11 ) / 22
GCD(2, 11) = 22 / 22
GCD(2, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 121) = 121
GCD(1, 121) = ( 1 x 121 ) / 121
GCD(1, 121) = 121 / 121
GCD(1, 121) = 1
GCD of 114, 212, 11, 121 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 114, 212, 11, 121?
GCD of 114, 212, 11, 121 is 1
2. Where do I get the detailed procedure to find GCD of 114, 212, 11, 121?
You can find a detailed procedure to find GCD of 114, 212, 11, 121 on our page.
3. How to find GCD of 114, 212, 11, 121 on a calculator?
You can find the GCD of 114, 212, 11, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.