Where do I get the detailed procedure to find GCD of 856, 321, 642?

You can find a detailed procedure to find GCD of 856, 321, 642 on our page.

How to find GCD of 856, 321, 642 on a calculator?

You can find the GCD of 856, 321, 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 856, 321, 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 856, 321, 642 quickly. Get the easiest ways to solve the greatest common divisor of 856, 321, 642 i.e 107 in different methods as follows.

How to Find GCD of Numbers 856, 321, 642 with Factoring?

Given Input numbers are 856, 321, 642

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

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

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 (856, 321, 642) = 107.

Find GCD of 856, 321, 642 using Prime Factorization

Given numbers are 856, 321, 642

The list of prime factors of all numbers are

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 321 are 3 x 107

Prime factors of 642 are 2 x 3 x 107

The highest common occurrence is 107¹

Therefore, GCD of 856, 321, 642 is 107.

Steps to Calculate GCD of 856, 321, 642 using LCM Formula

Given numbers are 856, 321, 642

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

Apply this formula for all numbers.

Step1:

LCM(856, 321) = 2568

GCD(856, 321) = ( 856 x 321 ) / 2568

= 856 / 321

= 856

Step2:

LCM(107, 642) = 642

GCD(107, 642) = ( 107 x 642 ) / 642

= 107 / 642

= 107

So, Greatest Common Divisor of 856, 321, 642 is 107

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 856, 321, 642

Given numbers are 856, 321, 642
The greatest common divisor of numbers 856, 321, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 321, 642 is 107.

FAQs on GCD of 856, 321, 642 Calculator

1. What is the GCD of 856, 321, 642?

GCD of given numbers 856, 321, 642 is 107

2. How to calculate the greatest common divisor of 856, 321, 642?

We can find the highest common divisor of 856, 321, 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 856, 321, 642 i.e 107.

3. How can I use the GCD of 856, 321, 642Calculator?

Out the numbers 856, 321, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.