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 924, 730, 930, 168 i.e. 2 largest integer that divides all the numbers equally.
GCD of 924, 730, 930, 168 is 2
GCD(924, 730, 930, 168) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 924, 730, 930, 168 is 2
GCD(924, 730, 930, 168) = 2
Given Input numbers are 924, 730, 930, 168
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
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 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Greatest Common Divisior
We found the divisors of 924, 730, 930, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 730, 930, 168 is 2.
Therefore, GCD of numbers 924, 730, 930, 168 is 2
Given Input Data is 924, 730, 930, 168
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 930 is 2 x 3 x 5 x 31
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
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(924, 730) = 337260
GCD(924, 730) = ( 924 x 730 ) / 337260
GCD(924, 730) = 674520 / 337260
GCD(924, 730) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 930
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 930) = 930
GCD(2, 930) = ( 2 x 930 ) / 930
GCD(2, 930) = 1860 / 930
GCD(2, 930) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 168) = 168
GCD(2, 168) = ( 2 x 168 ) / 168
GCD(2, 168) = 336 / 168
GCD(2, 168) = 2
GCD of 924, 730, 930, 168 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 924, 730, 930, 168?
GCD of 924, 730, 930, 168 is 2
2. Where do I get the detailed procedure to find GCD of 924, 730, 930, 168?
You can find a detailed procedure to find GCD of 924, 730, 930, 168 on our page.
3. How to find GCD of 924, 730, 930, 168 on a calculator?
You can find the GCD of 924, 730, 930, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.