Where do I get the detailed procedure to find GCD of 169, 494, 689?

You can find a detailed procedure to find GCD of 169, 494, 689 on our page.

How to find GCD of 169, 494, 689 on a calculator?

You can find the GCD of 169, 494, 689 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 169, 494, 689 Calculator

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

Online GCD Calculator is useful to find the GCD of 169, 494, 689 quickly. Get the easiest ways to solve the greatest common divisor of 169, 494, 689 i.e 13 in different methods as follows.

How to Find GCD of Numbers 169, 494, 689 with Factoring?

Given Input numbers are 169, 494, 689

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

Divisors of 169 :

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

1, 13, 169

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (169, 494, 689) = 13.

Find GCD of 169, 494, 689 using Prime Factorization

Given numbers are 169, 494, 689

The list of prime factors of all numbers are

Prime factors of 169 are 13 x 13

Prime factors of 494 are 2 x 13 x 19

Prime factors of 689 are 13 x 53

The highest common occurrence is 13¹

Therefore, GCD of 169, 494, 689 is 13.

Steps to Calculate GCD of 169, 494, 689 using LCM Formula

Given numbers are 169, 494, 689

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

Apply this formula for all numbers.

Step1:

LCM(169, 494) = 6422

GCD(169, 494) = ( 169 x 494 ) / 6422

= 169 / 494

= 169

Step2:

LCM(13, 689) = 689

GCD(13, 689) = ( 13 x 689 ) / 689

= 13 / 689

= 13

So, Greatest Common Divisor of 169, 494, 689 is 13

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 169, 494, 689

Given numbers are 169, 494, 689
The greatest common divisor of numbers 169, 494, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 169, 494, 689 is 13.

FAQs on GCD of 169, 494, 689 Calculator

1. What is the GCD of 169, 494, 689?

GCD of given numbers 169, 494, 689 is 13

2. How to calculate the greatest common divisor of 169, 494, 689?

We can find the highest common divisor of 169, 494, 689 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 169, 494, 689 i.e 13.

3. How can I use the GCD of 169, 494, 689Calculator?

Out the numbers 169, 494, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.