GCD of 874, 646, 521, 487 Calculator

Given Input numbers are 874, 646, 521, 487

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 521

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

1, 521

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Greatest Common Divisior

We found the divisors of 874, 646, 521, 487 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 646, 521, 487 is 1.

Therefore, GCD of numbers 874, 646, 521, 487 is 1

Given Input Data is 874, 646, 521, 487

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 521 is 521

Prime Factorization of 487 is 487

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(874, 646) = 14858

GCD(874, 646) = ( 874 x 646 ) / 14858

GCD(874, 646) = 564604 / 14858

GCD(874, 646) = 38

Step2:

Here we consider the GCD from the above i.e. 38 as first number and the next as 521

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

LCM(38, 521) = 19798

GCD(38, 521) = ( 38 x 521 ) / 19798

GCD(38, 521) = 19798 / 19798

GCD(38, 521) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 487

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

LCM(1, 487) = 487

GCD(1, 487) = ( 1 x 487 ) / 487

GCD(1, 487) = 487 / 487

GCD(1, 487) = 1

GCD of 874, 646, 521, 487 is 1

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1. What is the GCD of 874, 646, 521, 487?

GCD of 874, 646, 521, 487 is 1

2. Where do I get the detailed procedure to find GCD of 874, 646, 521, 487?

You can find a detailed procedure to find GCD of 874, 646, 521, 487 on our page.

3. How to find GCD of 874, 646, 521, 487 on a calculator?

You can find the GCD of 874, 646, 521, 487 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.