Where do I get the detailed procedure to find GCD of 400, 580, 200?

You can find a detailed procedure to find GCD of 400, 580, 200 on our page.

How to find GCD of 400, 580, 200 on a calculator?

You can find the GCD of 400, 580, 200 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 400, 580, 200 Calculator

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

Online GCD Calculator is useful to find the GCD of 400, 580, 200 quickly. Get the easiest ways to solve the greatest common divisor of 400, 580, 200 i.e 20 in different methods as follows.

How to Find GCD of Numbers 400, 580, 200 with Factoring?

Given Input numbers are 400, 580, 200

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

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

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

GCD of numbers is the greatest common divisor

So, the GCD (400, 580, 200) = 20.

Find GCD of 400, 580, 200 using Prime Factorization

Given numbers are 400, 580, 200

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 580 are 2 x 2 x 5 x 29

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

The highest common occurrence is 2² x 5¹

Therefore, GCD of 400, 580, 200 is 20.

Steps to Calculate GCD of 400, 580, 200 using LCM Formula

Given numbers are 400, 580, 200

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

Apply this formula for all numbers.

Step1:

LCM(400, 580) = 11600

GCD(400, 580) = ( 400 x 580 ) / 11600

= 400 / 580

= 400

Step2:

LCM(20, 200) = 200

GCD(20, 200) = ( 20 x 200 ) / 200

= 20 / 200

= 20

So, Greatest Common Divisor of 400, 580, 200 is 20

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 400, 580, 200

Given numbers are 400, 580, 200
The greatest common divisor of numbers 400, 580, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 580, 200 is 20.

FAQs on GCD of 400, 580, 200 Calculator

1. What is the GCD of 400, 580, 200?

GCD of given numbers 400, 580, 200 is 20

2. How to calculate the greatest common divisor of 400, 580, 200?

We can find the highest common divisor of 400, 580, 200 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 400, 580, 200 i.e 20.

3. How can I use the GCD of 400, 580, 200Calculator?

Out the numbers 400, 580, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.