GCD of 672, 108, 854 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 672, 108, 854 i.e. 2 largest integer that divides all the numbers equally.

GCD of 672, 108, 854 is 2

GCD(672, 108, 854) = 2

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

GCD of

GCD of numbers 672, 108, 854 is 2

GCD(672, 108, 854) = 2

GCD of 672,108,854 Calculator

GCDof 672,108,854 is 2

Given Input numbers are 672, 108, 854

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

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 672, 108, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 108, 854 is 2.

Therefore, GCD of numbers 672, 108, 854 is 2

Finding GCD of 672, 108, 854 using Prime Factorization

Given Input Data is 672, 108, 854

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

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 854 is 2 x 7 x 61

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 672, 108, 854 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(672, 108) = 6048

GCD(672, 108) = ( 672 x 108 ) / 6048

GCD(672, 108) = 72576 / 6048

GCD(672, 108) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 854

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

LCM(12, 854) = 5124

GCD(12, 854) = ( 12 x 854 ) / 5124

GCD(12, 854) = 10248 / 5124

GCD(12, 854) = 2

GCD of 672, 108, 854 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 672, 108, 854

1. What is the GCD of 672, 108, 854?

GCD of 672, 108, 854 is 2

2. Where do I get the detailed procedure to find GCD of 672, 108, 854?

You can find a detailed procedure to find GCD of 672, 108, 854 on our page.

3. How to find GCD of 672, 108, 854 on a calculator?

You can find the GCD of 672, 108, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.