GCD of 521, 796, 257, 687 Calculator

Given Input numbers are 521, 796, 257, 687

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

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 687

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

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 521, 796, 257, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 521, 796, 257, 687 is 1.

Therefore, GCD of numbers 521, 796, 257, 687 is 1

Given Input Data is 521, 796, 257, 687

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

Prime Factorization of 521 is 521

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 257 is 257

Prime Factorization of 687 is 3 x 229

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(521, 796) = 414716

GCD(521, 796) = ( 521 x 796 ) / 414716

GCD(521, 796) = 414716 / 414716

GCD(521, 796) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 257

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

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

GCD(1, 257) = 257 / 257

GCD(1, 257) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

GCD of 521, 796, 257, 687 is 1

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1. What is the GCD of 521, 796, 257, 687?

GCD of 521, 796, 257, 687 is 1

2. Where do I get the detailed procedure to find GCD of 521, 796, 257, 687?

You can find a detailed procedure to find GCD of 521, 796, 257, 687 on our page.

3. How to find GCD of 521, 796, 257, 687 on a calculator?

You can find the GCD of 521, 796, 257, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.