GCD of 814, 929, 172 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 814, 929, 172 i.e. 1 largest integer that divides all the numbers equally.

GCD of 814, 929, 172 is 1

GCD(814, 929, 172) = 1

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

GCD of

GCD of numbers 814, 929, 172 is 1

GCD(814, 929, 172) = 1

GCD of 814,929,172 Calculator

GCDof 814,929,172 is 1

Given Input numbers are 814, 929, 172

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Divisors of 172

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

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 814, 929, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 929, 172 is 1.

Therefore, GCD of numbers 814, 929, 172 is 1

Finding GCD of 814, 929, 172 using Prime Factorization

Given Input Data is 814, 929, 172

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 929 is 929

Prime Factorization of 172 is 2 x 2 x 43

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

Finding GCD of 814, 929, 172 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(814, 929) = 756206

GCD(814, 929) = ( 814 x 929 ) / 756206

GCD(814, 929) = 756206 / 756206

GCD(814, 929) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 814, 929, 172 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 814, 929, 172

1. What is the GCD of 814, 929, 172?

GCD of 814, 929, 172 is 1


2. Where do I get the detailed procedure to find GCD of 814, 929, 172?

You can find a detailed procedure to find GCD of 814, 929, 172 on our page.


3. How to find GCD of 814, 929, 172 on a calculator?

You can find the GCD of 814, 929, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.