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, 341, 354, 235 i.e. 1 largest integer that divides all the numbers equally.
GCD of 121, 341, 354, 235 is 1
GCD(121, 341, 354, 235) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 121, 341, 354, 235 is 1
GCD(121, 341, 354, 235) = 1
Given Input numbers are 121, 341, 354, 235
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 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Greatest Common Divisior
We found the divisors of 121, 341, 354, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 341, 354, 235 is 1.
Therefore, GCD of numbers 121, 341, 354, 235 is 1
Given Input Data is 121, 341, 354, 235
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 121 is 11 x 11
Prime Factorization of 341 is 11 x 31
Prime Factorization of 354 is 2 x 3 x 59
Prime Factorization of 235 is 5 x 47
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, 341) = 3751
GCD(121, 341) = ( 121 x 341 ) / 3751
GCD(121, 341) = 41261 / 3751
GCD(121, 341) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 354
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 354) = 3894
GCD(11, 354) = ( 11 x 354 ) / 3894
GCD(11, 354) = 3894 / 3894
GCD(11, 354) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 235
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 235) = 235
GCD(1, 235) = ( 1 x 235 ) / 235
GCD(1, 235) = 235 / 235
GCD(1, 235) = 1
GCD of 121, 341, 354, 235 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 121, 341, 354, 235?
GCD of 121, 341, 354, 235 is 1
2. Where do I get the detailed procedure to find GCD of 121, 341, 354, 235?
You can find a detailed procedure to find GCD of 121, 341, 354, 235 on our page.
3. How to find GCD of 121, 341, 354, 235 on a calculator?
You can find the GCD of 121, 341, 354, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.