Where do I get the detailed procedure to find GCD of 507, 687, 528?

You can find a detailed procedure to find GCD of 507, 687, 528 on our page.

How to find GCD of 507, 687, 528 on a calculator?

You can find the GCD of 507, 687, 528 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 507, 687, 528 Calculator

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

Online GCD Calculator is useful to find the GCD of 507, 687, 528 quickly. Get the easiest ways to solve the greatest common divisor of 507, 687, 528 i.e 3 in different methods as follows.

How to Find GCD of Numbers 507, 687, 528 with Factoring?

Given Input numbers are 507, 687, 528

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

Divisors of 507 :

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

1, 3, 13, 39, 169, 507

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

GCD of numbers is the greatest common divisor

So, the GCD (507, 687, 528) = 3.

Find GCD of 507, 687, 528 using Prime Factorization

Given numbers are 507, 687, 528

The list of prime factors of all numbers are

Prime factors of 507 are 3 x 13 x 13

Prime factors of 687 are 3 x 229

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 507, 687, 528 is 3.

Steps to Calculate GCD of 507, 687, 528 using LCM Formula

Given numbers are 507, 687, 528

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

Apply this formula for all numbers.

Step1:

LCM(507, 687) = 116103

GCD(507, 687) = ( 507 x 687 ) / 116103

= 507 / 687

= 507

Step2:

LCM(3, 528) = 528

GCD(3, 528) = ( 3 x 528 ) / 528

= 3 / 528

= 3

So, Greatest Common Divisor of 507, 687, 528 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 507, 687, 528

Given numbers are 507, 687, 528
The greatest common divisor of numbers 507, 687, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 507, 687, 528 is 3.

FAQs on GCD of 507, 687, 528 Calculator

1. What is the GCD of 507, 687, 528?

GCD of given numbers 507, 687, 528 is 3

2. How to calculate the greatest common divisor of 507, 687, 528?

We can find the highest common divisor of 507, 687, 528 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 507, 687, 528 i.e 3.

3. How can I use the GCD of 507, 687, 528Calculator?

Out the numbers 507, 687, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.