Where do I get the detailed procedure to find GCD of 429, 345, 309?

You can find a detailed procedure to find GCD of 429, 345, 309 on our page.

How to find GCD of 429, 345, 309 on a calculator?

You can find the GCD of 429, 345, 309 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 429, 345, 309 Calculator

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

Online GCD Calculator is useful to find the GCD of 429, 345, 309 quickly. Get the easiest ways to solve the greatest common divisor of 429, 345, 309 i.e 3 in different methods as follows.

How to Find GCD of Numbers 429, 345, 309 with Factoring?

Given Input numbers are 429, 345, 309

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

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 309 :

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

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (429, 345, 309) = 3.

Find GCD of 429, 345, 309 using Prime Factorization

Given numbers are 429, 345, 309

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 345 are 3 x 5 x 23

Prime factors of 309 are 3 x 103

The highest common occurrence is 3¹

Therefore, GCD of 429, 345, 309 is 3.

Steps to Calculate GCD of 429, 345, 309 using LCM Formula

Given numbers are 429, 345, 309

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

Apply this formula for all numbers.

Step1:

LCM(429, 345) = 49335

GCD(429, 345) = ( 429 x 345 ) / 49335

= 429 / 345

= 429

Step2:

LCM(3, 309) = 309

GCD(3, 309) = ( 3 x 309 ) / 309

= 3 / 309

= 3

So, Greatest Common Divisor of 429, 345, 309 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 429, 345, 309

Given numbers are 429, 345, 309
The greatest common divisor of numbers 429, 345, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 345, 309 is 3.

FAQs on GCD of 429, 345, 309 Calculator

1. What is the GCD of 429, 345, 309?

GCD of given numbers 429, 345, 309 is 3

2. How to calculate the greatest common divisor of 429, 345, 309?

We can find the highest common divisor of 429, 345, 309 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 429, 345, 309 i.e 3.

3. How can I use the GCD of 429, 345, 309Calculator?

Out the numbers 429, 345, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.