Where do I get the detailed procedure to find GCD of 200, 318, 420?

You can find a detailed procedure to find GCD of 200, 318, 420 on our page.

How to find GCD of 200, 318, 420 on a calculator?

You can find the GCD of 200, 318, 420 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 200, 318, 420 Calculator

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

Online GCD Calculator is useful to find the GCD of 200, 318, 420 quickly. Get the easiest ways to solve the greatest common divisor of 200, 318, 420 i.e 2 in different methods as follows.

How to Find GCD of Numbers 200, 318, 420 with Factoring?

Given Input numbers are 200, 318, 420

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

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 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (200, 318, 420) = 2.

Find GCD of 200, 318, 420 using Prime Factorization

Given numbers are 200, 318, 420

The list of prime factors of all numbers are

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

Prime factors of 318 are 2 x 3 x 53

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 200, 318, 420 is 2.

Steps to Calculate GCD of 200, 318, 420 using LCM Formula

Given numbers are 200, 318, 420

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

Apply this formula for all numbers.

Step1:

LCM(200, 318) = 31800

GCD(200, 318) = ( 200 x 318 ) / 31800

= 200 / 318

= 200

Step2:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 200, 318, 420 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 200, 318, 420

Given numbers are 200, 318, 420
The greatest common divisor of numbers 200, 318, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 318, 420 is 2.

FAQs on GCD of 200, 318, 420 Calculator

1. What is the GCD of 200, 318, 420?

GCD of given numbers 200, 318, 420 is 2

2. How to calculate the greatest common divisor of 200, 318, 420?

We can find the highest common divisor of 200, 318, 420 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 200, 318, 420 i.e 2.

3. How can I use the GCD of 200, 318, 420Calculator?

Out the numbers 200, 318, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.