Where do I get the detailed procedure to find GCD of 208, 456, 172?

You can find a detailed procedure to find GCD of 208, 456, 172 on our page.

How to find GCD of 208, 456, 172 on a calculator?

You can find the GCD of 208, 456, 172 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, 456, 172 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, 456, 172 quickly. Get the easiest ways to solve the greatest common divisor of 208, 456, 172 i.e 4 in different methods as follows.

How to Find GCD of Numbers 208, 456, 172 with Factoring?

Given Input numbers are 208, 456, 172

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 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (208, 456, 172) = 4.

Find GCD of 208, 456, 172 using Prime Factorization

Given numbers are 208, 456, 172

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 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2²

Therefore, GCD of 208, 456, 172 is 4.

Steps to Calculate GCD of 208, 456, 172 using LCM Formula

Given numbers are 208, 456, 172

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

Apply this formula for all numbers.

Step1:

LCM(208, 456) = 11856

GCD(208, 456) = ( 208 x 456 ) / 11856

= 208 / 456

= 208

Step2:

LCM(8, 172) = 344

GCD(8, 172) = ( 8 x 172 ) / 344

= 8 / 172

= 8

So, Greatest Common Divisor of 208, 456, 172 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 208, 456, 172

Given numbers are 208, 456, 172
The greatest common divisor of numbers 208, 456, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 456, 172 is 4.

FAQs on GCD of 208, 456, 172 Calculator

1. What is the GCD of 208, 456, 172?

GCD of given numbers 208, 456, 172 is 4

2. How to calculate the greatest common divisor of 208, 456, 172?

We can find the highest common divisor of 208, 456, 172 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, 456, 172 i.e 4.

3. How can I use the GCD of 208, 456, 172Calculator?

Out the numbers 208, 456, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.