GCD of 408, 917, 680 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 408, 917, 680 i.e. 1 largest integer that divides all the numbers equally.

GCD of 408, 917, 680 is 1

GCD(408, 917, 680) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 408, 917, 680 is 1

GCD(408, 917, 680) = 1

GCD of 408,917,680 Calculator

GCDof 408,917,680 is 1

Given Input numbers are 408, 917, 680

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

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

Greatest Common Divisior

We found the divisors of 408, 917, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 917, 680 is 1.

Therefore, GCD of numbers 408, 917, 680 is 1

Finding GCD of 408, 917, 680 using Prime Factorization

Given Input Data is 408, 917, 680

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 917 is 7 x 131

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 408, 917, 680 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(408, 917) = 374136

GCD(408, 917) = ( 408 x 917 ) / 374136

GCD(408, 917) = 374136 / 374136

GCD(408, 917) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

GCD of 408, 917, 680 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 408, 917, 680

1. What is the GCD of 408, 917, 680?

GCD of 408, 917, 680 is 1


2. Where do I get the detailed procedure to find GCD of 408, 917, 680?

You can find a detailed procedure to find GCD of 408, 917, 680 on our page.


3. How to find GCD of 408, 917, 680 on a calculator?

You can find the GCD of 408, 917, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.