Where do I get the detailed procedure to find GCD of 688, 180, 208?

You can find a detailed procedure to find GCD of 688, 180, 208 on our page.

How to find GCD of 688, 180, 208 on a calculator?

You can find the GCD of 688, 180, 208 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 688, 180, 208 Calculator

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

Online GCD Calculator is useful to find the GCD of 688, 180, 208 quickly. Get the easiest ways to solve the greatest common divisor of 688, 180, 208 i.e 4 in different methods as follows.

How to Find GCD of Numbers 688, 180, 208 with Factoring?

Given Input numbers are 688, 180, 208

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 208 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (688, 180, 208) = 4.

Find GCD of 688, 180, 208 using Prime Factorization

Given numbers are 688, 180, 208

The list of prime factors of all numbers are

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

The highest common occurrence is 2²

Therefore, GCD of 688, 180, 208 is 4.

Steps to Calculate GCD of 688, 180, 208 using LCM Formula

Given numbers are 688, 180, 208

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

Apply this formula for all numbers.

Step1:

LCM(688, 180) = 30960

GCD(688, 180) = ( 688 x 180 ) / 30960

= 688 / 180

= 688

Step2:

LCM(4, 208) = 208

GCD(4, 208) = ( 4 x 208 ) / 208

= 4 / 208

= 4

So, Greatest Common Divisor of 688, 180, 208 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 688, 180, 208

Given numbers are 688, 180, 208
The greatest common divisor of numbers 688, 180, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 180, 208 is 4.

FAQs on GCD of 688, 180, 208 Calculator

1. What is the GCD of 688, 180, 208?

GCD of given numbers 688, 180, 208 is 4

2. How to calculate the greatest common divisor of 688, 180, 208?

We can find the highest common divisor of 688, 180, 208 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 688, 180, 208 i.e 4.

3. How can I use the GCD of 688, 180, 208Calculator?

Out the numbers 688, 180, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.