GCD of 867, 587, 21, 513 Calculator

Given Input numbers are 867, 587, 21, 513

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 513

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

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

Greatest Common Divisior

We found the divisors of 867, 587, 21, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 587, 21, 513 is 1.

Therefore, GCD of numbers 867, 587, 21, 513 is 1

Given Input Data is 867, 587, 21, 513

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 587 is 587

Prime Factorization of 21 is 3 x 7

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

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(867, 587) = 508929

GCD(867, 587) = ( 867 x 587 ) / 508929

GCD(867, 587) = 508929 / 508929

GCD(867, 587) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 867, 587, 21, 513 is 1

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1. What is the GCD of 867, 587, 21, 513?

GCD of 867, 587, 21, 513 is 1

2. Where do I get the detailed procedure to find GCD of 867, 587, 21, 513?

You can find a detailed procedure to find GCD of 867, 587, 21, 513 on our page.

3. How to find GCD of 867, 587, 21, 513 on a calculator?

You can find the GCD of 867, 587, 21, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.