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, 792, 76 i.e. 2 largest integer that divides all the numbers equally.
GCD of 930, 792, 76 is 2
GCD(930, 792, 76) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 930, 792, 76 is 2
GCD(930, 792, 76) = 2
Given Input numbers are 930, 792, 76
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 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Greatest Common Divisior
We found the divisors of 930, 792, 76 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 792, 76 is 2.
Therefore, GCD of numbers 930, 792, 76 is 2
Given Input Data is 930, 792, 76
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 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 76 is 2 x 2 x 19
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 792) = 122760
GCD(930, 792) = ( 930 x 792 ) / 122760
GCD(930, 792) = 736560 / 122760
GCD(930, 792) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 76) = 228
GCD(6, 76) = ( 6 x 76 ) / 228
GCD(6, 76) = 456 / 228
GCD(6, 76) = 2
GCD of 930, 792, 76 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 930, 792, 76?
GCD of 930, 792, 76 is 2
2. Where do I get the detailed procedure to find GCD of 930, 792, 76?
You can find a detailed procedure to find GCD of 930, 792, 76 on our page.
3. How to find GCD of 930, 792, 76 on a calculator?
You can find the GCD of 930, 792, 76 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.