GCD of 192, 182, 77, 684 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 192, 182, 77, 684 i.e. 1 largest integer that divides all the numbers equally.

GCD of 192, 182, 77, 684 is 1

GCD(192, 182, 77, 684) = 1

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

GCD of

GCD of numbers 192, 182, 77, 684 is 1

GCD(192, 182, 77, 684) = 1

GCD of 192,182,77,684 Calculator

GCDof 192,182,77,684 is 1

Given Input numbers are 192, 182, 77, 684

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

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 192, 182, 77, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 192, 182, 77, 684 is 1.

Therefore, GCD of numbers 192, 182, 77, 684 is 1

Finding GCD of 192, 182, 77, 684 using Prime Factorization

Given Input Data is 192, 182, 77, 684

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

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 77 is 7 x 11

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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

Finding GCD of 192, 182, 77, 684 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(192, 182) = 17472

GCD(192, 182) = ( 192 x 182 ) / 17472

GCD(192, 182) = 34944 / 17472

GCD(192, 182) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 192, 182, 77, 684 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 192, 182, 77, 684

1. What is the GCD of 192, 182, 77, 684?

GCD of 192, 182, 77, 684 is 1


2. Where do I get the detailed procedure to find GCD of 192, 182, 77, 684?

You can find a detailed procedure to find GCD of 192, 182, 77, 684 on our page.


3. How to find GCD of 192, 182, 77, 684 on a calculator?

You can find the GCD of 192, 182, 77, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.