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 930, 113, 30, 853 i.e. 1 largest integer that divides all the numbers equally.
GCD of 930, 113, 30, 853 is 1
GCD(930, 113, 30, 853) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 930, 113, 30, 853 is 1
GCD(930, 113, 30, 853) = 1
Given Input numbers are 930, 113, 30, 853
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 930
List of positive integer divisors of 930 that divides 930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
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 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Greatest Common Divisior
We found the divisors of 930, 113, 30, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 113, 30, 853 is 1.
Therefore, GCD of numbers 930, 113, 30, 853 is 1
Given Input Data is 930, 113, 30, 853
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 930 is 2 x 3 x 5 x 31
Prime Factorization of 113 is 113
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 853 is 853
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(930, 113) = 105090
GCD(930, 113) = ( 930 x 113 ) / 105090
GCD(930, 113) = 105090 / 105090
GCD(930, 113) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
GCD(1, 30) = 30 / 30
GCD(1, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 853
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 853) = 853
GCD(1, 853) = ( 1 x 853 ) / 853
GCD(1, 853) = 853 / 853
GCD(1, 853) = 1
GCD of 930, 113, 30, 853 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 930, 113, 30, 853?
GCD of 930, 113, 30, 853 is 1
2. Where do I get the detailed procedure to find GCD of 930, 113, 30, 853?
You can find a detailed procedure to find GCD of 930, 113, 30, 853 on our page.
3. How to find GCD of 930, 113, 30, 853 on a calculator?
You can find the GCD of 930, 113, 30, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.