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 798, 335, 99, 242 i.e. 1 largest integer that divides all the numbers equally.
GCD of 798, 335, 99, 242 is 1
GCD(798, 335, 99, 242) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 798, 335, 99, 242 is 1
GCD(798, 335, 99, 242) = 1
Given Input numbers are 798, 335, 99, 242
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Greatest Common Divisior
We found the divisors of 798, 335, 99, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 335, 99, 242 is 1.
Therefore, GCD of numbers 798, 335, 99, 242 is 1
Given Input Data is 798, 335, 99, 242
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 335 is 5 x 67
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 242 is 2 x 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(798, 335) = 267330
GCD(798, 335) = ( 798 x 335 ) / 267330
GCD(798, 335) = 267330 / 267330
GCD(798, 335) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 242
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 242) = 242
GCD(1, 242) = ( 1 x 242 ) / 242
GCD(1, 242) = 242 / 242
GCD(1, 242) = 1
GCD of 798, 335, 99, 242 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 798, 335, 99, 242?
GCD of 798, 335, 99, 242 is 1
2. Where do I get the detailed procedure to find GCD of 798, 335, 99, 242?
You can find a detailed procedure to find GCD of 798, 335, 99, 242 on our page.
3. How to find GCD of 798, 335, 99, 242 on a calculator?
You can find the GCD of 798, 335, 99, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.