Where do I get the detailed procedure to find GCD of 174, 508, 764?

You can find a detailed procedure to find GCD of 174, 508, 764 on our page.

How to find GCD of 174, 508, 764 on a calculator?

You can find the GCD of 174, 508, 764 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 174, 508, 764 Calculator

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

Online GCD Calculator is useful to find the GCD of 174, 508, 764 quickly. Get the easiest ways to solve the greatest common divisor of 174, 508, 764 i.e 2 in different methods as follows.

How to Find GCD of Numbers 174, 508, 764 with Factoring?

Given Input numbers are 174, 508, 764

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

Divisors of 174 :

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

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

GCD of numbers is the greatest common divisor

So, the GCD (174, 508, 764) = 2.

Find GCD of 174, 508, 764 using Prime Factorization

Given numbers are 174, 508, 764

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 508 are 2 x 2 x 127

Prime factors of 764 are 2 x 2 x 191

The highest common occurrence is 2¹

Therefore, GCD of 174, 508, 764 is 2.

Steps to Calculate GCD of 174, 508, 764 using LCM Formula

Given numbers are 174, 508, 764

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

Apply this formula for all numbers.

Step1:

LCM(174, 508) = 44196

GCD(174, 508) = ( 174 x 508 ) / 44196

= 174 / 508

= 174

Step2:

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

= 2 / 764

= 2

So, Greatest Common Divisor of 174, 508, 764 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 174, 508, 764

Given numbers are 174, 508, 764
The greatest common divisor of numbers 174, 508, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 508, 764 is 2.

FAQs on GCD of 174, 508, 764 Calculator

1. What is the GCD of 174, 508, 764?

GCD of given numbers 174, 508, 764 is 2

2. How to calculate the greatest common divisor of 174, 508, 764?

We can find the highest common divisor of 174, 508, 764 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 174, 508, 764 i.e 2.

3. How can I use the GCD of 174, 508, 764Calculator?

Out the numbers 174, 508, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.