Where do I get the detailed procedure to find GCD of 434, 200, 584?

You can find a detailed procedure to find GCD of 434, 200, 584 on our page.

How to find GCD of 434, 200, 584 on a calculator?

You can find the GCD of 434, 200, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 434, 200, 584 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 434, 200, 584 quickly. Get the easiest ways to solve the greatest common divisor of 434, 200, 584 i.e 2 in different methods as follows.

How to Find GCD of Numbers 434, 200, 584 with Factoring?

Given Input numbers are 434, 200, 584

In the factoring method, we have to find the divisors of all numbers

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (434, 200, 584) = 2.

Find GCD of 434, 200, 584 using Prime Factorization

Given numbers are 434, 200, 584

The list of prime factors of all numbers are

Prime factors of 434 are 2 x 7 x 31

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 584 are 2 x 2 x 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 434, 200, 584 is 2.

Steps to Calculate GCD of 434, 200, 584 using LCM Formula

Given numbers are 434, 200, 584

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(434, 200) = 43400

GCD(434, 200) = ( 434 x 200 ) / 43400

= 434 / 200

= 434

Step2:

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2

So, Greatest Common Divisor of 434, 200, 584 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 434, 200, 584

Given numbers are 434, 200, 584
The greatest common divisor of numbers 434, 200, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 200, 584 is 2.

FAQs on GCD of 434, 200, 584 Calculator

1. What is the GCD of 434, 200, 584?

GCD of given numbers 434, 200, 584 is 2

2. How to calculate the greatest common divisor of 434, 200, 584?

We can find the highest common divisor of 434, 200, 584 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 434, 200, 584 i.e 2.

3. How can I use the GCD of 434, 200, 584Calculator?

Out the numbers 434, 200, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.