GCD of 172, 861, 33, 676 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 172, 861, 33, 676 i.e. 1 largest integer that divides all the numbers equally.

GCD of 172, 861, 33, 676 is 1

GCD(172, 861, 33, 676) = 1

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

GCD of

GCD of numbers 172, 861, 33, 676 is 1

GCD(172, 861, 33, 676) = 1

GCD of 172,861,33,676 Calculator

GCDof 172,861,33,676 is 1

Given Input numbers are 172, 861, 33, 676

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 172, 861, 33, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 861, 33, 676 is 1.

Therefore, GCD of numbers 172, 861, 33, 676 is 1

Finding GCD of 172, 861, 33, 676 using Prime Factorization

Given Input Data is 172, 861, 33, 676

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 33 is 3 x 11

Prime Factorization of 676 is 2 x 2 x 13 x 13

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

Finding GCD of 172, 861, 33, 676 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(172, 861) = 148092

GCD(172, 861) = ( 172 x 861 ) / 148092

GCD(172, 861) = 148092 / 148092

GCD(172, 861) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 172, 861, 33, 676 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 172, 861, 33, 676

1. What is the GCD of 172, 861, 33, 676?

GCD of 172, 861, 33, 676 is 1


2. Where do I get the detailed procedure to find GCD of 172, 861, 33, 676?

You can find a detailed procedure to find GCD of 172, 861, 33, 676 on our page.


3. How to find GCD of 172, 861, 33, 676 on a calculator?

You can find the GCD of 172, 861, 33, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.