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 345, 997, 33, 121 i.e. 1 largest integer that divides all the numbers equally.
GCD of 345, 997, 33, 121 is 1
GCD(345, 997, 33, 121) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 345, 997, 33, 121 is 1
GCD(345, 997, 33, 121) = 1
Given Input numbers are 345, 997, 33, 121
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
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 345, 997, 33, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 997, 33, 121 is 1.
Therefore, GCD of numbers 345, 997, 33, 121 is 1
Given Input Data is 345, 997, 33, 121
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 997 is 997
Prime Factorization of 33 is 3 x 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(345, 997) = 343965
GCD(345, 997) = ( 345 x 997 ) / 343965
GCD(345, 997) = 343965 / 343965
GCD(345, 997) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 33) = 33
GCD(1, 33) = ( 1 x 33 ) / 33
GCD(1, 33) = 33 / 33
GCD(1, 33) = 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 345, 997, 33, 121 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 345, 997, 33, 121?
GCD of 345, 997, 33, 121 is 1
2. Where do I get the detailed procedure to find GCD of 345, 997, 33, 121?
You can find a detailed procedure to find GCD of 345, 997, 33, 121 on our page.
3. How to find GCD of 345, 997, 33, 121 on a calculator?
You can find the GCD of 345, 997, 33, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.