Where do I get the detailed procedure to find GCD of 224, 200, 920?

You can find a detailed procedure to find GCD of 224, 200, 920 on our page.

How to find GCD of 224, 200, 920 on a calculator?

You can find the GCD of 224, 200, 920 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 224, 200, 920 Calculator

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

Online GCD Calculator is useful to find the GCD of 224, 200, 920 quickly. Get the easiest ways to solve the greatest common divisor of 224, 200, 920 i.e 8 in different methods as follows.

How to Find GCD of Numbers 224, 200, 920 with Factoring?

Given Input numbers are 224, 200, 920

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

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

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 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (224, 200, 920) = 8.

Find GCD of 224, 200, 920 using Prime Factorization

Given numbers are 224, 200, 920

The list of prime factors of all numbers are

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

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

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

The highest common occurrence is 2³

Therefore, GCD of 224, 200, 920 is 8.

Steps to Calculate GCD of 224, 200, 920 using LCM Formula

Given numbers are 224, 200, 920

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

Apply this formula for all numbers.

Step1:

LCM(224, 200) = 5600

GCD(224, 200) = ( 224 x 200 ) / 5600

= 224 / 200

= 224

Step2:

LCM(8, 920) = 920

GCD(8, 920) = ( 8 x 920 ) / 920

= 8 / 920

= 8

So, Greatest Common Divisor of 224, 200, 920 is 8

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 224, 200, 920

Given numbers are 224, 200, 920
The greatest common divisor of numbers 224, 200, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 200, 920 is 8.

FAQs on GCD of 224, 200, 920 Calculator

1. What is the GCD of 224, 200, 920?

GCD of given numbers 224, 200, 920 is 8

2. How to calculate the greatest common divisor of 224, 200, 920?

We can find the highest common divisor of 224, 200, 920 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 224, 200, 920 i.e 8.

3. How can I use the GCD of 224, 200, 920Calculator?

Out the numbers 224, 200, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.