GCD of 182, 353, 68, 100 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 182, 353, 68, 100 i.e. 1 largest integer that divides all the numbers equally.

GCD of 182, 353, 68, 100 is 1

GCD(182, 353, 68, 100) = 1

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

GCD of

GCD of numbers 182, 353, 68, 100 is 1

GCD(182, 353, 68, 100) = 1

GCD of 182,353,68,100 Calculator

GCDof 182,353,68,100 is 1

Given Input numbers are 182, 353, 68, 100

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

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 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 182, 353, 68, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 353, 68, 100 is 1.

Therefore, GCD of numbers 182, 353, 68, 100 is 1

Finding GCD of 182, 353, 68, 100 using Prime Factorization

Given Input Data is 182, 353, 68, 100

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

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 353 is 353

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 100 is 2 x 2 x 5 x 5

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

Finding GCD of 182, 353, 68, 100 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(182, 353) = 64246

GCD(182, 353) = ( 182 x 353 ) / 64246

GCD(182, 353) = 64246 / 64246

GCD(182, 353) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 182, 353, 68, 100 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 182, 353, 68, 100

1. What is the GCD of 182, 353, 68, 100?

GCD of 182, 353, 68, 100 is 1


2. Where do I get the detailed procedure to find GCD of 182, 353, 68, 100?

You can find a detailed procedure to find GCD of 182, 353, 68, 100 on our page.


3. How to find GCD of 182, 353, 68, 100 on a calculator?

You can find the GCD of 182, 353, 68, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.