GCD of 500, 580, 438, 434 Calculator

Given Input numbers are 500, 580, 438, 434

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 500, 580, 438, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 580, 438, 434 is 2.

Therefore, GCD of numbers 500, 580, 438, 434 is 2

Given Input Data is 500, 580, 438, 434

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 434 is 2 x 7 x 31

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(500, 580) = 14500

GCD(500, 580) = ( 500 x 580 ) / 14500

GCD(500, 580) = 290000 / 14500

GCD(500, 580) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 438

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

LCM(20, 438) = 4380

GCD(20, 438) = ( 20 x 438 ) / 4380

GCD(20, 438) = 8760 / 4380

GCD(20, 438) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 434

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

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

GCD(2, 434) = 868 / 434

GCD(2, 434) = 2

GCD of 500, 580, 438, 434 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 517, 617, 301, 414
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• GCD of 626, 816, 912, 586
• GCD of 623, 153, 126, 490
• GCD of 270, 600, 514, 646

1. What is the GCD of 500, 580, 438, 434?

GCD of 500, 580, 438, 434 is 2

2. Where do I get the detailed procedure to find GCD of 500, 580, 438, 434?

You can find a detailed procedure to find GCD of 500, 580, 438, 434 on our page.

3. How to find GCD of 500, 580, 438, 434 on a calculator?

You can find the GCD of 500, 580, 438, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.