Where do I get the detailed procedure to find GCD of 680, 648, 688?

You can find a detailed procedure to find GCD of 680, 648, 688 on our page.

How to find GCD of 680, 648, 688 on a calculator?

You can find the GCD of 680, 648, 688 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 680, 648, 688 Calculator

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

Online GCD Calculator is useful to find the GCD of 680, 648, 688 quickly. Get the easiest ways to solve the greatest common divisor of 680, 648, 688 i.e 8 in different methods as follows.

How to Find GCD of Numbers 680, 648, 688 with Factoring?

Given Input numbers are 680, 648, 688

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 688 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (680, 648, 688) = 8.

Find GCD of 680, 648, 688 using Prime Factorization

Given numbers are 680, 648, 688

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

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

The highest common occurrence is 2³

Therefore, GCD of 680, 648, 688 is 8.

Steps to Calculate GCD of 680, 648, 688 using LCM Formula

Given numbers are 680, 648, 688

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

Apply this formula for all numbers.

Step1:

LCM(680, 648) = 55080

GCD(680, 648) = ( 680 x 648 ) / 55080

= 680 / 648

= 680

Step2:

LCM(8, 688) = 688

GCD(8, 688) = ( 8 x 688 ) / 688

= 8 / 688

= 8

So, Greatest Common Divisor of 680, 648, 688 is 8

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 680, 648, 688

Given numbers are 680, 648, 688
The greatest common divisor of numbers 680, 648, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 648, 688 is 8.

FAQs on GCD of 680, 648, 688 Calculator

1. What is the GCD of 680, 648, 688?

GCD of given numbers 680, 648, 688 is 8

2. How to calculate the greatest common divisor of 680, 648, 688?

We can find the highest common divisor of 680, 648, 688 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 680, 648, 688 i.e 8.

3. How can I use the GCD of 680, 648, 688Calculator?

Out the numbers 680, 648, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.