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 991, 399, 42, 930 i.e. 1 largest integer that divides all the numbers equally.
GCD of 991, 399, 42, 930 is 1
GCD(991, 399, 42, 930) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 991, 399, 42, 930 is 1
GCD(991, 399, 42, 930) = 1
Given Input numbers are 991, 399, 42, 930
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
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
Greatest Common Divisior
We found the divisors of 991, 399, 42, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 399, 42, 930 is 1.
Therefore, GCD of numbers 991, 399, 42, 930 is 1
Given Input Data is 991, 399, 42, 930
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 991 is 991
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 930 is 2 x 3 x 5 x 31
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(991, 399) = 395409
GCD(991, 399) = ( 991 x 399 ) / 395409
GCD(991, 399) = 395409 / 395409
GCD(991, 399) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 930
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 930) = 930
GCD(1, 930) = ( 1 x 930 ) / 930
GCD(1, 930) = 930 / 930
GCD(1, 930) = 1
GCD of 991, 399, 42, 930 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 991, 399, 42, 930?
GCD of 991, 399, 42, 930 is 1
2. Where do I get the detailed procedure to find GCD of 991, 399, 42, 930?
You can find a detailed procedure to find GCD of 991, 399, 42, 930 on our page.
3. How to find GCD of 991, 399, 42, 930 on a calculator?
You can find the GCD of 991, 399, 42, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.