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GCD of 984, 822, 896, 764 Calculator

Make use of GCD Calculator to determine the Greatest Common Divisor of 984, 822, 896, 764 i.e. 2 largest integer that divides all the numbers equally.

GCD of 984, 822, 896, 764 is 2

GCD(984, 822, 896, 764) = 2

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

GCD of

GCD of numbers 984, 822, 896, 764 is 2

GCD(984, 822, 896, 764) = 2

Finding GCD of 984, 822, 896, 764 using Factoring

Given Input numbers are 984, 822, 896, 764

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 984, 822, 896, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 822, 896, 764 is 2.

Therefore, GCD of numbers 984, 822, 896, 764 is 2

Finding GCD of 984, 822, 896, 764 using Prime Factorization

Given Input Data is 984, 822, 896, 764

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 764 is 2 x 2 x 191

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 984, 822, 896, 764 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(984, 822) = 134808

GCD(984, 822) = ( 984 x 822 ) / 134808

GCD(984, 822) = 808848 / 134808

GCD(984, 822) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 896

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

LCM(6, 896) = 2688

GCD(6, 896) = ( 6 x 896 ) / 2688

GCD(6, 896) = 5376 / 2688

GCD(6, 896) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 764

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

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

GCD(2, 764) = 1528 / 764

GCD(2, 764) = 2

GCD of 984, 822, 896, 764 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 984, 822, 896, 764

1. What is the GCD of 984, 822, 896, 764?

GCD of 984, 822, 896, 764 is 2


2. Where do I get the detailed procedure to find GCD of 984, 822, 896, 764?

You can find a detailed procedure to find GCD of 984, 822, 896, 764 on our page.


3. How to find GCD of 984, 822, 896, 764 on a calculator?

You can find the GCD of 984, 822, 896, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.