GCD of 171, 875, 29, 629 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 171, 875, 29, 629 i.e. 1 largest integer that divides all the numbers equally.

GCD of 171, 875, 29, 629 is 1

GCD(171, 875, 29, 629) = 1

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

GCD of

GCD of numbers 171, 875, 29, 629 is 1

GCD(171, 875, 29, 629) = 1

GCD of 171,875,29,629 Calculator

GCDof 171,875,29,629 is 1

Given Input numbers are 171, 875, 29, 629

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

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 171, 875, 29, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 875, 29, 629 is 1.

Therefore, GCD of numbers 171, 875, 29, 629 is 1

Finding GCD of 171, 875, 29, 629 using Prime Factorization

Given Input Data is 171, 875, 29, 629

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 29 is 29

Prime Factorization of 629 is 17 x 37

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

Finding GCD of 171, 875, 29, 629 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(171, 875) = 149625

GCD(171, 875) = ( 171 x 875 ) / 149625

GCD(171, 875) = 149625 / 149625

GCD(171, 875) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 629

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

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

GCD(1, 629) = 629 / 629

GCD(1, 629) = 1

GCD of 171, 875, 29, 629 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 171, 875, 29, 629

1. What is the GCD of 171, 875, 29, 629?

GCD of 171, 875, 29, 629 is 1


2. Where do I get the detailed procedure to find GCD of 171, 875, 29, 629?

You can find a detailed procedure to find GCD of 171, 875, 29, 629 on our page.


3. How to find GCD of 171, 875, 29, 629 on a calculator?

You can find the GCD of 171, 875, 29, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.