GCD of 824, 308, 924, 820 Calculator

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 824, 308, 924, 820 i.e. 4 largest integer that divides all the numbers equally.

GCD of 824, 308, 924, 820 is 4

GCD(824, 308, 924, 820) = 4

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 824, 308, 924, 820 is 4

GCD(824, 308, 924, 820) = 4

GCD of 824,308,924,820 Calculator

GCDof 824,308,924,820 is 4

Given Input numbers are 824, 308, 924, 820

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 824, 308, 924, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 308, 924, 820 is 4.

Therefore, GCD of numbers 824, 308, 924, 820 is 4

Finding GCD of 824, 308, 924, 820 using Prime Factorization

Given Input Data is 824, 308, 924, 820

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 820 is 2 x 2 x 5 x 41

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 824, 308, 924, 820 using LCM Formula

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(824, 308) = 63448

GCD(824, 308) = ( 824 x 308 ) / 63448

GCD(824, 308) = 253792 / 63448

GCD(824, 308) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 924

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 924) = 924

GCD(4, 924) = ( 4 x 924 ) / 924

GCD(4, 924) = 3696 / 924

GCD(4, 924) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 820

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 820) = 820

GCD(4, 820) = ( 4 x 820 ) / 820

GCD(4, 820) = 3280 / 820

GCD(4, 820) = 4

GCD of 824, 308, 924, 820 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 824, 308, 924, 820

1. What is the GCD of 824, 308, 924, 820?

GCD of 824, 308, 924, 820 is 4


2. Where do I get the detailed procedure to find GCD of 824, 308, 924, 820?

You can find a detailed procedure to find GCD of 824, 308, 924, 820 on our page.


3. How to find GCD of 824, 308, 924, 820 on a calculator?

You can find the GCD of 824, 308, 924, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.