GCD of 510, 696, 515 Calculator

Given Input numbers are 510, 696, 515

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Greatest Common Divisior

We found the divisors of 510, 696, 515 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 696, 515 is 1.

Therefore, GCD of numbers 510, 696, 515 is 1

Given Input Data is 510, 696, 515

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 515 is 5 x 103

The above numbers do not have any common prime factor. So GCD is 1

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(510, 696) = 59160

GCD(510, 696) = ( 510 x 696 ) / 59160

GCD(510, 696) = 354960 / 59160

GCD(510, 696) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 515

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

LCM(6, 515) = 3090

GCD(6, 515) = ( 6 x 515 ) / 3090

GCD(6, 515) = 3090 / 3090

GCD(6, 515) = 1

GCD of 510, 696, 515 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 165, 742
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1. What is the GCD of 510, 696, 515?

GCD of 510, 696, 515 is 1

2. Where do I get the detailed procedure to find GCD of 510, 696, 515?

You can find a detailed procedure to find GCD of 510, 696, 515 on our page.

3. How to find GCD of 510, 696, 515 on a calculator?

You can find the GCD of 510, 696, 515 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.