GCD of 513, 687, 525 Calculator

Given Input numbers are 513, 687, 525

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Greatest Common Divisior

We found the divisors of 513, 687, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 687, 525 is 3.

Therefore, GCD of numbers 513, 687, 525 is 3

Given Input Data is 513, 687, 525

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 687 is 3 x 229

Prime Factorization of 525 is 3 x 5 x 5 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

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

LCM(513, 687) = 117477

GCD(513, 687) = ( 513 x 687 ) / 117477

GCD(513, 687) = 352431 / 117477

GCD(513, 687) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 525

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

LCM(3, 525) = 525

GCD(3, 525) = ( 3 x 525 ) / 525

GCD(3, 525) = 1575 / 525

GCD(3, 525) = 3

GCD of 513, 687, 525 is 3

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1. What is the GCD of 513, 687, 525?

GCD of 513, 687, 525 is 3

2. Where do I get the detailed procedure to find GCD of 513, 687, 525?

You can find a detailed procedure to find GCD of 513, 687, 525 on our page.

3. How to find GCD of 513, 687, 525 on a calculator?

You can find the GCD of 513, 687, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.