Where do I get the detailed procedure to find GCD of 182, 676, 507?

You can find a detailed procedure to find GCD of 182, 676, 507 on our page.

How to find GCD of 182, 676, 507 on a calculator?

You can find the GCD of 182, 676, 507 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 182, 676, 507 Calculator

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

Online GCD Calculator is useful to find the GCD of 182, 676, 507 quickly. Get the easiest ways to solve the greatest common divisor of 182, 676, 507 i.e 13 in different methods as follows.

How to Find GCD of Numbers 182, 676, 507 with Factoring?

Given Input numbers are 182, 676, 507

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

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

GCD of numbers is the greatest common divisor

So, the GCD (182, 676, 507) = 13.

Find GCD of 182, 676, 507 using Prime Factorization

Given numbers are 182, 676, 507

The list of prime factors of all numbers are

Prime factors of 182 are 2 x 7 x 13

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 507 are 3 x 13 x 13

The highest common occurrence is 13¹

Therefore, GCD of 182, 676, 507 is 13.

Steps to Calculate GCD of 182, 676, 507 using LCM Formula

Given numbers are 182, 676, 507

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

Apply this formula for all numbers.

Step1:

LCM(182, 676) = 4732

GCD(182, 676) = ( 182 x 676 ) / 4732

= 182 / 676

= 182

Step2:

LCM(26, 507) = 1014

GCD(26, 507) = ( 26 x 507 ) / 1014

= 26 / 507

= 26

So, Greatest Common Divisor of 182, 676, 507 is 13

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 182, 676, 507

Given numbers are 182, 676, 507
The greatest common divisor of numbers 182, 676, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 182, 676, 507 is 13.

FAQs on GCD of 182, 676, 507 Calculator

1. What is the GCD of 182, 676, 507?

GCD of given numbers 182, 676, 507 is 13

2. How to calculate the greatest common divisor of 182, 676, 507?

We can find the highest common divisor of 182, 676, 507 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 182, 676, 507 i.e 13.

3. How can I use the GCD of 182, 676, 507Calculator?

Out the numbers 182, 676, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.