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 33, 797, 338, 107 i.e. 1 largest integer that divides all the numbers equally.
GCD of 33, 797, 338, 107 is 1
GCD(33, 797, 338, 107) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 33, 797, 338, 107 is 1
GCD(33, 797, 338, 107) = 1
Given Input numbers are 33, 797, 338, 107
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Greatest Common Divisior
We found the divisors of 33, 797, 338, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 797, 338, 107 is 1.
Therefore, GCD of numbers 33, 797, 338, 107 is 1
Given Input Data is 33, 797, 338, 107
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 33 is 3 x 11
Prime Factorization of 797 is 797
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 107 is 107
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(33, 797) = 26301
GCD(33, 797) = ( 33 x 797 ) / 26301
GCD(33, 797) = 26301 / 26301
GCD(33, 797) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 338
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
GCD(1, 338) = 338 / 338
GCD(1, 338) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 107
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 107) = 107
GCD(1, 107) = ( 1 x 107 ) / 107
GCD(1, 107) = 107 / 107
GCD(1, 107) = 1
GCD of 33, 797, 338, 107 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 33, 797, 338, 107?
GCD of 33, 797, 338, 107 is 1
2. Where do I get the detailed procedure to find GCD of 33, 797, 338, 107?
You can find a detailed procedure to find GCD of 33, 797, 338, 107 on our page.
3. How to find GCD of 33, 797, 338, 107 on a calculator?
You can find the GCD of 33, 797, 338, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.