GCD of 680, 940, 912 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 680, 940, 912 i.e. 4 largest integer that divides all the numbers equally.

GCD of 680, 940, 912 is 4

GCD(680, 940, 912) = 4

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

GCD of

GCD of numbers 680, 940, 912 is 4

GCD(680, 940, 912) = 4

GCD of 680,940,912 Calculator

GCDof 680,940,912 is 4

Given Input numbers are 680, 940, 912

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

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

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Greatest Common Divisior

We found the divisors of 680, 940, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 940, 912 is 4.

Therefore, GCD of numbers 680, 940, 912 is 4

Finding GCD of 680, 940, 912 using Prime Factorization

Given Input Data is 680, 940, 912

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

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 680, 940, 912 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(680, 940) = 31960

GCD(680, 940) = ( 680 x 940 ) / 31960

GCD(680, 940) = 639200 / 31960

GCD(680, 940) = 20


Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 912

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

LCM(20, 912) = 4560

GCD(20, 912) = ( 20 x 912 ) / 4560

GCD(20, 912) = 18240 / 4560

GCD(20, 912) = 4

GCD of 680, 940, 912 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 680, 940, 912

1. What is the GCD of 680, 940, 912?

GCD of 680, 940, 912 is 4


2. Where do I get the detailed procedure to find GCD of 680, 940, 912?

You can find a detailed procedure to find GCD of 680, 940, 912 on our page.


3. How to find GCD of 680, 940, 912 on a calculator?

You can find the GCD of 680, 940, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.