Where do I get the detailed procedure to find GCD of 442, 169, 323?

You can find a detailed procedure to find GCD of 442, 169, 323 on our page.

How to find GCD of 442, 169, 323 on a calculator?

You can find the GCD of 442, 169, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 442, 169, 323 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 442, 169, 323 quickly. Get the easiest ways to solve the greatest common divisor of 442, 169, 323 i.e 1 in different methods as follows.

How to Find GCD of Numbers 442, 169, 323 with Factoring?

Given Input numbers are 442, 169, 323

In the factoring method, we have to find the divisors of all numbers

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

GCD of numbers is the greatest common divisor

So, the GCD (442, 169, 323) = 1.

Find GCD of 442, 169, 323 using Prime Factorization

Given numbers are 442, 169, 323

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 169 are 13 x 13

Prime factors of 323 are 17 x 19

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

Steps to Calculate GCD of 442, 169, 323 using LCM Formula

Given numbers are 442, 169, 323

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(442, 169) = 5746

GCD(442, 169) = ( 442 x 169 ) / 5746

= 442 / 169

= 442

Step2:

LCM(13, 323) = 4199

GCD(13, 323) = ( 13 x 323 ) / 4199

= 13 / 323

= 13

So, Greatest Common Divisor of 442, 169, 323 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 442, 169, 323

Given numbers are 442, 169, 323
The greatest common divisor of numbers 442, 169, 323 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 169, 323 is 1.

FAQs on GCD of 442, 169, 323 Calculator

1. What is the GCD of 442, 169, 323?

GCD of given numbers 442, 169, 323 is 1

2. How to calculate the greatest common divisor of 442, 169, 323?

We can find the highest common divisor of 442, 169, 323 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 442, 169, 323 i.e 1.

3. How can I use the GCD of 442, 169, 323Calculator?

Out the numbers 442, 169, 323 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.