Where do I get the detailed procedure to find GCD of 537, 309, 171?

You can find a detailed procedure to find GCD of 537, 309, 171 on our page.

How to find GCD of 537, 309, 171 on a calculator?

You can find the GCD of 537, 309, 171 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 537, 309, 171 Calculator

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

Online GCD Calculator is useful to find the GCD of 537, 309, 171 quickly. Get the easiest ways to solve the greatest common divisor of 537, 309, 171 i.e 3 in different methods as follows.

How to Find GCD of Numbers 537, 309, 171 with Factoring?

Given Input numbers are 537, 309, 171

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

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (537, 309, 171) = 3.

Find GCD of 537, 309, 171 using Prime Factorization

Given numbers are 537, 309, 171

The list of prime factors of all numbers are

Prime factors of 537 are 3 x 179

Prime factors of 309 are 3 x 103

Prime factors of 171 are 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 537, 309, 171 is 3.

Steps to Calculate GCD of 537, 309, 171 using LCM Formula

Given numbers are 537, 309, 171

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

Apply this formula for all numbers.

Step1:

LCM(537, 309) = 55311

GCD(537, 309) = ( 537 x 309 ) / 55311

= 537 / 309

= 537

Step2:

LCM(3, 171) = 171

GCD(3, 171) = ( 3 x 171 ) / 171

= 3 / 171

= 3

So, Greatest Common Divisor of 537, 309, 171 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 537, 309, 171

Given numbers are 537, 309, 171
The greatest common divisor of numbers 537, 309, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 537, 309, 171 is 3.

FAQs on GCD of 537, 309, 171 Calculator

1. What is the GCD of 537, 309, 171?

GCD of given numbers 537, 309, 171 is 3

2. How to calculate the greatest common divisor of 537, 309, 171?

We can find the highest common divisor of 537, 309, 171 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 537, 309, 171 i.e 3.

3. How can I use the GCD of 537, 309, 171Calculator?

Out the numbers 537, 309, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.