GCD of 584, 812, 440, 774 Calculator

Given Input numbers are 584, 812, 440, 774

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

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 584, 812, 440, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 812, 440, 774 is 2.

Therefore, GCD of numbers 584, 812, 440, 774 is 2

Given Input Data is 584, 812, 440, 774

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(584, 812) = 118552

GCD(584, 812) = ( 584 x 812 ) / 118552

GCD(584, 812) = 474208 / 118552

GCD(584, 812) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 440

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

LCM(4, 440) = 440

GCD(4, 440) = ( 4 x 440 ) / 440

GCD(4, 440) = 1760 / 440

GCD(4, 440) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 774

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

LCM(4, 774) = 1548

GCD(4, 774) = ( 4 x 774 ) / 1548

GCD(4, 774) = 3096 / 1548

GCD(4, 774) = 2

GCD of 584, 812, 440, 774 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 154, 210, 509, 599
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1. What is the GCD of 584, 812, 440, 774?

GCD of 584, 812, 440, 774 is 2

2. Where do I get the detailed procedure to find GCD of 584, 812, 440, 774?

You can find a detailed procedure to find GCD of 584, 812, 440, 774 on our page.

3. How to find GCD of 584, 812, 440, 774 on a calculator?

You can find the GCD of 584, 812, 440, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.