Where do I get the detailed procedure to find GCD of 156, 819, 169?

You can find a detailed procedure to find GCD of 156, 819, 169 on our page.

How to find GCD of 156, 819, 169 on a calculator?

You can find the GCD of 156, 819, 169 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 156, 819, 169 Calculator

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

Online GCD Calculator is useful to find the GCD of 156, 819, 169 quickly. Get the easiest ways to solve the greatest common divisor of 156, 819, 169 i.e 13 in different methods as follows.

How to Find GCD of Numbers 156, 819, 169 with Factoring?

Given Input numbers are 156, 819, 169

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

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 169 :

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

1, 13, 169

GCD of numbers is the greatest common divisor

So, the GCD (156, 819, 169) = 13.

Find GCD of 156, 819, 169 using Prime Factorization

Given numbers are 156, 819, 169

The list of prime factors of all numbers are

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 819 are 3 x 3 x 7 x 13

Prime factors of 169 are 13 x 13

The highest common occurrence is 13¹

Therefore, GCD of 156, 819, 169 is 13.

Steps to Calculate GCD of 156, 819, 169 using LCM Formula

Given numbers are 156, 819, 169

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

Apply this formula for all numbers.

Step1:

LCM(156, 819) = 3276

GCD(156, 819) = ( 156 x 819 ) / 3276

= 156 / 819

= 156

Step2:

LCM(39, 169) = 507

GCD(39, 169) = ( 39 x 169 ) / 507

= 39 / 169

= 39

So, Greatest Common Divisor of 156, 819, 169 is 13

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 156, 819, 169

Given numbers are 156, 819, 169
The greatest common divisor of numbers 156, 819, 169 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 819, 169 is 13.

FAQs on GCD of 156, 819, 169 Calculator

1. What is the GCD of 156, 819, 169?

GCD of given numbers 156, 819, 169 is 13

2. How to calculate the greatest common divisor of 156, 819, 169?

We can find the highest common divisor of 156, 819, 169 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 156, 819, 169 i.e 13.

3. How can I use the GCD of 156, 819, 169Calculator?

Out the numbers 156, 819, 169 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.