Where do I get the detailed procedure to find GCD of 172, 978, 174?

You can find a detailed procedure to find GCD of 172, 978, 174 on our page.

How to find GCD of 172, 978, 174 on a calculator?

You can find the GCD of 172, 978, 174 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 172, 978, 174 Calculator

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

Online GCD Calculator is useful to find the GCD of 172, 978, 174 quickly. Get the easiest ways to solve the greatest common divisor of 172, 978, 174 i.e 2 in different methods as follows.

How to Find GCD of Numbers 172, 978, 174 with Factoring?

Given Input numbers are 172, 978, 174

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

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

GCD of numbers is the greatest common divisor

So, the GCD (172, 978, 174) = 2.

Find GCD of 172, 978, 174 using Prime Factorization

Given numbers are 172, 978, 174

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 978 are 2 x 3 x 163

Prime factors of 174 are 2 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 172, 978, 174 is 2.

Steps to Calculate GCD of 172, 978, 174 using LCM Formula

Given numbers are 172, 978, 174

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

Apply this formula for all numbers.

Step1:

LCM(172, 978) = 84108

GCD(172, 978) = ( 172 x 978 ) / 84108

= 172 / 978

= 172

Step2:

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

= 2 / 174

= 2

So, Greatest Common Divisor of 172, 978, 174 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 172, 978, 174

Given numbers are 172, 978, 174
The greatest common divisor of numbers 172, 978, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 978, 174 is 2.

FAQs on GCD of 172, 978, 174 Calculator

1. What is the GCD of 172, 978, 174?

GCD of given numbers 172, 978, 174 is 2

2. How to calculate the greatest common divisor of 172, 978, 174?

We can find the highest common divisor of 172, 978, 174 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 172, 978, 174 i.e 2.

3. How can I use the GCD of 172, 978, 174Calculator?

Out the numbers 172, 978, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.