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 30, 297, 373, 842 i.e. 1 largest integer that divides all the numbers equally.
GCD of 30, 297, 373, 842 is 1
GCD(30, 297, 373, 842) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 30, 297, 373, 842 is 1
GCD(30, 297, 373, 842) = 1
Given Input numbers are 30, 297, 373, 842
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 373
List of positive integer divisors of 373 that divides 373 without a remainder.
1, 373
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Greatest Common Divisior
We found the divisors of 30, 297, 373, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 297, 373, 842 is 1.
Therefore, GCD of numbers 30, 297, 373, 842 is 1
Given Input Data is 30, 297, 373, 842
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 297 is 3 x 3 x 3 x 11
Prime Factorization of 373 is 373
Prime Factorization of 842 is 2 x 421
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(30, 297) = 2970
GCD(30, 297) = ( 30 x 297 ) / 2970
GCD(30, 297) = 8910 / 2970
GCD(30, 297) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 373
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 373) = 1119
GCD(3, 373) = ( 3 x 373 ) / 1119
GCD(3, 373) = 1119 / 1119
GCD(3, 373) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 842
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 842) = 842
GCD(1, 842) = ( 1 x 842 ) / 842
GCD(1, 842) = 842 / 842
GCD(1, 842) = 1
GCD of 30, 297, 373, 842 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 30, 297, 373, 842?
GCD of 30, 297, 373, 842 is 1
2. Where do I get the detailed procedure to find GCD of 30, 297, 373, 842?
You can find a detailed procedure to find GCD of 30, 297, 373, 842 on our page.
3. How to find GCD of 30, 297, 373, 842 on a calculator?
You can find the GCD of 30, 297, 373, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.