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 530, 384, 40, 924 i.e. 2 largest integer that divides all the numbers equally.
GCD of 530, 384, 40, 924 is 2
GCD(530, 384, 40, 924) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 530, 384, 40, 924 is 2
GCD(530, 384, 40, 924) = 2
Given Input numbers are 530, 384, 40, 924
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 530
List of positive integer divisors of 530 that divides 530 without a remainder.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
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
Greatest Common Divisior
We found the divisors of 530, 384, 40, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 384, 40, 924 is 2.
Therefore, GCD of numbers 530, 384, 40, 924 is 2
Given Input Data is 530, 384, 40, 924
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 530 is 2 x 5 x 53
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
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(530, 384) = 101760
GCD(530, 384) = ( 530 x 384 ) / 101760
GCD(530, 384) = 203520 / 101760
GCD(530, 384) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 40) = 40
GCD(2, 40) = ( 2 x 40 ) / 40
GCD(2, 40) = 80 / 40
GCD(2, 40) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 924) = 924
GCD(2, 924) = ( 2 x 924 ) / 924
GCD(2, 924) = 1848 / 924
GCD(2, 924) = 2
GCD of 530, 384, 40, 924 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 530, 384, 40, 924?
GCD of 530, 384, 40, 924 is 2
2. Where do I get the detailed procedure to find GCD of 530, 384, 40, 924?
You can find a detailed procedure to find GCD of 530, 384, 40, 924 on our page.
3. How to find GCD of 530, 384, 40, 924 on a calculator?
You can find the GCD of 530, 384, 40, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.