Where do I get the detailed procedure to find GCD of 784, 198, 172?

You can find a detailed procedure to find GCD of 784, 198, 172 on our page.

How to find GCD of 784, 198, 172 on a calculator?

You can find the GCD of 784, 198, 172 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 784, 198, 172 Calculator

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

Online GCD Calculator is useful to find the GCD of 784, 198, 172 quickly. Get the easiest ways to solve the greatest common divisor of 784, 198, 172 i.e 2 in different methods as follows.

How to Find GCD of Numbers 784, 198, 172 with Factoring?

Given Input numbers are 784, 198, 172

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

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (784, 198, 172) = 2.

Find GCD of 784, 198, 172 using Prime Factorization

Given numbers are 784, 198, 172

The list of prime factors of all numbers are

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 784, 198, 172 is 2.

Steps to Calculate GCD of 784, 198, 172 using LCM Formula

Given numbers are 784, 198, 172

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

Apply this formula for all numbers.

Step1:

LCM(784, 198) = 77616

GCD(784, 198) = ( 784 x 198 ) / 77616

= 784 / 198

= 784

Step2:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2

So, Greatest Common Divisor of 784, 198, 172 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 784, 198, 172

Given numbers are 784, 198, 172
The greatest common divisor of numbers 784, 198, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 198, 172 is 2.

FAQs on GCD of 784, 198, 172 Calculator

1. What is the GCD of 784, 198, 172?

GCD of given numbers 784, 198, 172 is 2

2. How to calculate the greatest common divisor of 784, 198, 172?

We can find the highest common divisor of 784, 198, 172 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 784, 198, 172 i.e 2.

3. How can I use the GCD of 784, 198, 172Calculator?

Out the numbers 784, 198, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.