Where do I get the detailed procedure to find GCD of 334, 172, 642?

You can find a detailed procedure to find GCD of 334, 172, 642 on our page.

How to find GCD of 334, 172, 642 on a calculator?

You can find the GCD of 334, 172, 642 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 334, 172, 642 Calculator

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

Online GCD Calculator is useful to find the GCD of 334, 172, 642 quickly. Get the easiest ways to solve the greatest common divisor of 334, 172, 642 i.e 2 in different methods as follows.

How to Find GCD of Numbers 334, 172, 642 with Factoring?

Given Input numbers are 334, 172, 642

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

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

GCD of numbers is the greatest common divisor

So, the GCD (334, 172, 642) = 2.

Find GCD of 334, 172, 642 using Prime Factorization

Given numbers are 334, 172, 642

The list of prime factors of all numbers are

Prime factors of 334 are 2 x 167

Prime factors of 172 are 2 x 2 x 43

Prime factors of 642 are 2 x 3 x 107

The highest common occurrence is 2¹

Therefore, GCD of 334, 172, 642 is 2.

Steps to Calculate GCD of 334, 172, 642 using LCM Formula

Given numbers are 334, 172, 642

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

Apply this formula for all numbers.

Step1:

LCM(334, 172) = 28724

GCD(334, 172) = ( 334 x 172 ) / 28724

= 334 / 172

= 334

Step2:

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

= 2 / 642

= 2

So, Greatest Common Divisor of 334, 172, 642 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 334, 172, 642

Given numbers are 334, 172, 642
The greatest common divisor of numbers 334, 172, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 334, 172, 642 is 2.

FAQs on GCD of 334, 172, 642 Calculator

1. What is the GCD of 334, 172, 642?

GCD of given numbers 334, 172, 642 is 2

2. How to calculate the greatest common divisor of 334, 172, 642?

We can find the highest common divisor of 334, 172, 642 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 334, 172, 642 i.e 2.

3. How can I use the GCD of 334, 172, 642Calculator?

Out the numbers 334, 172, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.