Where do I get the detailed procedure to find GCD of 208, 222, 380?

You can find a detailed procedure to find GCD of 208, 222, 380 on our page.

How to find GCD of 208, 222, 380 on a calculator?

You can find the GCD of 208, 222, 380 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 208, 222, 380 Calculator

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

Online GCD Calculator is useful to find the GCD of 208, 222, 380 quickly. Get the easiest ways to solve the greatest common divisor of 208, 222, 380 i.e 2 in different methods as follows.

How to Find GCD of Numbers 208, 222, 380 with Factoring?

Given Input numbers are 208, 222, 380

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (208, 222, 380) = 2.

Find GCD of 208, 222, 380 using Prime Factorization

Given numbers are 208, 222, 380

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 222 are 2 x 3 x 37

Prime factors of 380 are 2 x 2 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 208, 222, 380 is 2.

Steps to Calculate GCD of 208, 222, 380 using LCM Formula

Given numbers are 208, 222, 380

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

Apply this formula for all numbers.

Step1:

LCM(208, 222) = 23088

GCD(208, 222) = ( 208 x 222 ) / 23088

= 208 / 222

= 208

Step2:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2

So, Greatest Common Divisor of 208, 222, 380 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 208, 222, 380

Given numbers are 208, 222, 380
The greatest common divisor of numbers 208, 222, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 222, 380 is 2.

FAQs on GCD of 208, 222, 380 Calculator

1. What is the GCD of 208, 222, 380?

GCD of given numbers 208, 222, 380 is 2

2. How to calculate the greatest common divisor of 208, 222, 380?

We can find the highest common divisor of 208, 222, 380 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 208, 222, 380 i.e 2.

3. How can I use the GCD of 208, 222, 380Calculator?

Out the numbers 208, 222, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.