Where do I get the detailed procedure to find GCD of 642, 216, 916?

You can find a detailed procedure to find GCD of 642, 216, 916 on our page.

How to find GCD of 642, 216, 916 on a calculator?

You can find the GCD of 642, 216, 916 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 642, 216, 916 Calculator

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

Online GCD Calculator is useful to find the GCD of 642, 216, 916 quickly. Get the easiest ways to solve the greatest common divisor of 642, 216, 916 i.e 2 in different methods as follows.

How to Find GCD of Numbers 642, 216, 916 with Factoring?

Given Input numbers are 642, 216, 916

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

Divisors of 642 :

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

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (642, 216, 916) = 2.

Find GCD of 642, 216, 916 using Prime Factorization

Given numbers are 642, 216, 916

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 642, 216, 916 is 2.

Steps to Calculate GCD of 642, 216, 916 using LCM Formula

Given numbers are 642, 216, 916

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

Apply this formula for all numbers.

Step1:

LCM(642, 216) = 23112

GCD(642, 216) = ( 642 x 216 ) / 23112

= 642 / 216

= 642

Step2:

LCM(6, 916) = 2748

GCD(6, 916) = ( 6 x 916 ) / 2748

= 6 / 916

= 6

So, Greatest Common Divisor of 642, 216, 916 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 642, 216, 916

Given numbers are 642, 216, 916
The greatest common divisor of numbers 642, 216, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 216, 916 is 2.

FAQs on GCD of 642, 216, 916 Calculator

1. What is the GCD of 642, 216, 916?

GCD of given numbers 642, 216, 916 is 2

2. How to calculate the greatest common divisor of 642, 216, 916?

We can find the highest common divisor of 642, 216, 916 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 642, 216, 916 i.e 2.

3. How can I use the GCD of 642, 216, 916Calculator?

Out the numbers 642, 216, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.