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, 916, 18, 987 i.e. 1 largest integer that divides all the numbers equally.
GCD of 930, 916, 18, 987 is 1
GCD(930, 916, 18, 987) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 930, 916, 18, 987 is 1
GCD(930, 916, 18, 987) = 1
Given Input numbers are 930, 916, 18, 987
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 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Greatest Common Divisior
We found the divisors of 930, 916, 18, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 916, 18, 987 is 1.
Therefore, GCD of numbers 930, 916, 18, 987 is 1
Given Input Data is 930, 916, 18, 987
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 916 is 2 x 2 x 229
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 987 is 3 x 7 x 47
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, 916) = 425940
GCD(930, 916) = ( 930 x 916 ) / 425940
GCD(930, 916) = 851880 / 425940
GCD(930, 916) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 18) = 18
GCD(2, 18) = ( 2 x 18 ) / 18
GCD(2, 18) = 36 / 18
GCD(2, 18) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 987) = 1974
GCD(2, 987) = ( 2 x 987 ) / 1974
GCD(2, 987) = 1974 / 1974
GCD(2, 987) = 1
GCD of 930, 916, 18, 987 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 930, 916, 18, 987?
GCD of 930, 916, 18, 987 is 1
2. Where do I get the detailed procedure to find GCD of 930, 916, 18, 987?
You can find a detailed procedure to find GCD of 930, 916, 18, 987 on our page.
3. How to find GCD of 930, 916, 18, 987 on a calculator?
You can find the GCD of 930, 916, 18, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.