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 121, 484, 91, 195 i.e. 1 largest integer that divides all the numbers equally.
GCD of 121, 484, 91, 195 is 1
GCD(121, 484, 91, 195) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 121, 484, 91, 195 is 1
GCD(121, 484, 91, 195) = 1
Given Input numbers are 121, 484, 91, 195
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Greatest Common Divisior
We found the divisors of 121, 484, 91, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 484, 91, 195 is 1.
Therefore, GCD of numbers 121, 484, 91, 195 is 1
Given Input Data is 121, 484, 91, 195
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 121 is 11 x 11
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 91 is 7 x 13
Prime Factorization of 195 is 3 x 5 x 13
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(121, 484) = 484
GCD(121, 484) = ( 121 x 484 ) / 484
GCD(121, 484) = 58564 / 484
GCD(121, 484) = 121
Step2:
Here we consider the GCD from the above i.e. 121 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(121, 91) = 11011
GCD(121, 91) = ( 121 x 91 ) / 11011
GCD(121, 91) = 11011 / 11011
GCD(121, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 195
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 195) = 195
GCD(1, 195) = ( 1 x 195 ) / 195
GCD(1, 195) = 195 / 195
GCD(1, 195) = 1
GCD of 121, 484, 91, 195 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 121, 484, 91, 195?
GCD of 121, 484, 91, 195 is 1
2. Where do I get the detailed procedure to find GCD of 121, 484, 91, 195?
You can find a detailed procedure to find GCD of 121, 484, 91, 195 on our page.
3. How to find GCD of 121, 484, 91, 195 on a calculator?
You can find the GCD of 121, 484, 91, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.