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, 690, 993 i.e. 3 largest integer that divides all the numbers equally.
GCD of 930, 690, 993 is 3
GCD(930, 690, 993) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 930, 690, 993 is 3
GCD(930, 690, 993) = 3
Given Input numbers are 930, 690, 993
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 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Greatest Common Divisior
We found the divisors of 930, 690, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 690, 993 is 3.
Therefore, GCD of numbers 930, 690, 993 is 3
Given Input Data is 930, 690, 993
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 690 is 2 x 3 x 5 x 23
Prime Factorization of 993 is 3 x 331
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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, 690) = 21390
GCD(930, 690) = ( 930 x 690 ) / 21390
GCD(930, 690) = 641700 / 21390
GCD(930, 690) = 30
Step2:
Here we consider the GCD from the above i.e. 30 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(30, 993) = 9930
GCD(30, 993) = ( 30 x 993 ) / 9930
GCD(30, 993) = 29790 / 9930
GCD(30, 993) = 3
GCD of 930, 690, 993 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 930, 690, 993?
GCD of 930, 690, 993 is 3
2. Where do I get the detailed procedure to find GCD of 930, 690, 993?
You can find a detailed procedure to find GCD of 930, 690, 993 on our page.
3. How to find GCD of 930, 690, 993 on a calculator?
You can find the GCD of 930, 690, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.